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Simplifying -1(x + 5) = 2(5x + -6) Reorder the terms: -1(5 + x) = 2(5x + -6) (5 * -1 + x * -1) = 2(5x + -6) (-5 + -1x) = 2(5x + -6) Reorder the terms: -5 + -1x = 2(-6 + 5x) -5 + -1x = (-6 * 2 + 5x * 2) -5 + -1x = (-12 + 10x) Solving -5 + -1x = -12 + 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. -5 + -1x + -10x = -12 + 10x + -10x Combine like terms: -1x + -10x = -11x -5 + -11x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -11x = -12 + 0 -5 + -11x = -12 Add '5' to each side of the equation. -5 + 5 + -11x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = -12 + 5 -11x = -12 + 5 Combine like terms: -12 + 5 = -7 -11x = -7 Divide each side by '-11'. x = 0.6363636364 Simplifying x = 0.6363636364
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