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Simplifying 3(x + 5) = -2(x + -7) Reorder the terms: 3(5 + x) = -2(x + -7) (5 * 3 + x * 3) = -2(x + -7) (15 + 3x) = -2(x + -7) Reorder the terms: 15 + 3x = -2(-7 + x) 15 + 3x = (-7 * -2 + x * -2) 15 + 3x = (14 + -2x) Solving 15 + 3x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15 + 3x + 2x = 14 + -2x + 2x Combine like terms: 3x + 2x = 5x 15 + 5x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 5x = 14 + 0 15 + 5x = 14 Add '-15' to each side of the equation. 15 + -15 + 5x = 14 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 14 + -15 5x = 14 + -15 Combine like terms: 14 + -15 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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