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Simplifying 2(x + -6) = -3(5 + -1x) Reorder the terms: 2(-6 + x) = -3(5 + -1x) (-6 * 2 + x * 2) = -3(5 + -1x) (-12 + 2x) = -3(5 + -1x) -12 + 2x = (5 * -3 + -1x * -3) -12 + 2x = (-15 + 3x) Solving -12 + 2x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 2x + -3x = -15 + 3x + -3x Combine like terms: 2x + -3x = -1x -12 + -1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -1x = -15 + 0 -12 + -1x = -15 Add '12' to each side of the equation. -12 + 12 + -1x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -15 + 12 -1x = -15 + 12 Combine like terms: -15 + 12 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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