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Simplifying -1(12 + 6x) = -1(10x + -20) (12 * -1 + 6x * -1) = -1(10x + -20) (-12 + -6x) = -1(10x + -20) Reorder the terms: -12 + -6x = -1(-20 + 10x) -12 + -6x = (-20 * -1 + 10x * -1) -12 + -6x = (20 + -10x) Solving -12 + -6x = 20 + -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 + -6x + 10x = 20 + -10x + 10x Combine like terms: -6x + 10x = 4x -12 + 4x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 4x = 20 + 0 -12 + 4x = 20 Add '12' to each side of the equation. -12 + 12 + 4x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 20 + 12 4x = 20 + 12 Combine like terms: 20 + 12 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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