(b) \( 5 x+15=-2 x+1 \)
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To solve the equation \( 5x + 15 = -2x + 1 \), start by getting all the \( x \) terms on one side. Add \( 2x \) to both sides to combine like terms: \( 5x + 2x + 15 = 1 \), simplifying to \( 7x + 15 = 1 \). Now, subtract \( 15 \) from both sides to isolate the \( x \): \( 7x = 1 - 15 \), which becomes \( 7x = -14 \). Finally, divide both sides by \( 7 \) to find \( x = -2 \)! If you encounter a mix-up, don't worry! A common mistake is misplacing a sign when moving terms. Always double-check each step: keep an eye on positive and negative signs, especially when combining or subtracting. Taking your time ensures you avoid those slip-ups!