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