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Simplifying -1(12 + 6x) = 2(x + -2) (12 * -1 + 6x * -1) = 2(x + -2) (-12 + -6x) = 2(x + -2) Reorder the terms: -12 + -6x = 2(-2 + x) -12 + -6x = (-2 * 2 + x * 2) -12 + -6x = (-4 + 2x) Solving -12 + -6x = -4 + 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. -12 + -6x + -2x = -4 + 2x + -2x Combine like terms: -6x + -2x = -8x -12 + -8x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -8x = -4 + 0 -12 + -8x = -4 Add '12' to each side of the equation. -12 + 12 + -8x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -4 + 12 -8x = -4 + 12 Combine like terms: -4 + 12 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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