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Simplifying -1(x + 12) = 5(2x + -1) Reorder the terms: -1(12 + x) = 5(2x + -1) (12 * -1 + x * -1) = 5(2x + -1) (-12 + -1x) = 5(2x + -1) Reorder the terms: -12 + -1x = 5(-1 + 2x) -12 + -1x = (-1 * 5 + 2x * 5) -12 + -1x = (-5 + 10x) Solving -12 + -1x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + -1x + -10x = -5 + 10x + -10x Combine like terms: -1x + -10x = -11x -12 + -11x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -11x = -5 + 0 -12 + -11x = -5 Add '12' to each side of the equation. -12 + 12 + -11x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = -5 + 12 -11x = -5 + 12 Combine like terms: -5 + 12 = 7 -11x = 7 Divide each side by '-11'. x = -0.6363636364 Simplifying x = -0.6363636364
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