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Simplifying 3(-1x + 5) = -2(x + -6) Reorder the terms: 3(5 + -1x) = -2(x + -6) (5 * 3 + -1x * 3) = -2(x + -6) (15 + -3x) = -2(x + -6) Reorder the terms: 15 + -3x = -2(-6 + x) 15 + -3x = (-6 * -2 + x * -2) 15 + -3x = (12 + -2x) Solving 15 + -3x = 12 + -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 = 12 + -2x + 2x Combine like terms: -3x + 2x = -1x 15 + -1x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + -1x = 12 + 0 15 + -1x = 12 Add '-15' to each side of the equation. 15 + -15 + -1x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 12 + -15 -1x = 12 + -15 Combine like terms: 12 + -15 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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