Solve the equation for \( x \). \( 1=0.3 x-0.7 x-19 \)
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To solve the equation \( 1 = 0.3x - 0.7x - 19 \), start by simplifying the right side. Combine like terms: \( 0.3x - 0.7x \) equals \( -0.4x \). So the equation becomes: \( 1 = -0.4x - 19 \). Next, add 19 to both sides: \( 1 + 19 = -0.4x \) or \( 20 = -0.4x \). Now, divide both sides by -0.4 to solve for \( x \): \( x = \frac{20}{-0.4} = -50 \). Thus, the solution is \( x = -50 \). Enjoy celebrating your newfound algebra skills! It’s like unlocking the secrets of the universe, one equation at a time! Solving equations is not just a school exercise; it's a skill that can help you in various real-life situations! For example, when budgeting your monthly expenses or figuring out how to distribute resources efficiently, algebra is your trusty sidekick!