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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 = -1x 15 + -1x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + -1x = 10 + 0 15 + -1x = 10 Add '-15' to each side of the equation. 15 + -15 + -1x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 10 + -15 -1x = 10 + -15 Combine like terms: 10 + -15 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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