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Simplifying 9 + -3(x + -2) = 2(x + 5) Reorder the terms: 9 + -3(-2 + x) = 2(x + 5) 9 + (-2 * -3 + x * -3) = 2(x + 5) 9 + (6 + -3x) = 2(x + 5) Combine like terms: 9 + 6 = 15 15 + -3x = 2(x + 5) Reorder the terms: 15 + -3x = 2(5 + x) 15 + -3x = (5 * 2 + x * 2) 15 + -3x = (10 + 2x) Solving 15 + -3x = 10 + 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 = 10 + 2x + -2x Combine like terms: -3x + -2x = -5x 15 + -5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -5x = 10 + 0 15 + -5x = 10 Add '-15' to each side of the equation. 15 + -15 + -5x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 10 + -15 -5x = 10 + -15 Combine like terms: 10 + -15 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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