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Simplifying 6 + -1(3x + -9) = -2(5 + -1x) Reorder the terms: 6 + -1(-9 + 3x) = -2(5 + -1x) 6 + (-9 * -1 + 3x * -1) = -2(5 + -1x) 6 + (9 + -3x) = -2(5 + -1x) Combine like terms: 6 + 9 = 15 15 + -3x = -2(5 + -1x) 15 + -3x = (5 * -2 + -1x * -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 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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