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Simplifying -2(x + 6) = x + 6 Reorder the terms: -2(6 + x) = x + 6 (6 * -2 + x * -2) = x + 6 (-12 + -2x) = x + 6 Reorder the terms: -12 + -2x = 6 + x Solving -12 + -2x = 6 + 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. -12 + -2x + -1x = 6 + x + -1x Combine like terms: -2x + -1x = -3x -12 + -3x = 6 + x + -1x Combine like terms: x + -1x = 0 -12 + -3x = 6 + 0 -12 + -3x = 6 Add '12' to each side of the equation. -12 + 12 + -3x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 6 + 12 -3x = 6 + 12 Combine like terms: 6 + 12 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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