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Simplifying (x + -4) + -12 = 2(x + -6) + 6 Reorder the terms: (-4 + x) + -12 = 2(x + -6) + 6 Remove parenthesis around (-4 + x) -4 + x + -12 = 2(x + -6) + 6 Reorder the terms: -4 + -12 + x = 2(x + -6) + 6 Combine like terms: -4 + -12 = -16 -16 + x = 2(x + -6) + 6 Reorder the terms: -16 + x = 2(-6 + x) + 6 -16 + x = (-6 * 2 + x * 2) + 6 -16 + x = (-12 + 2x) + 6 Reorder the terms: -16 + x = -12 + 6 + 2x Combine like terms: -12 + 6 = -6 -16 + x = -6 + 2x Solving -16 + x = -6 + 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. -16 + x + -2x = -6 + 2x + -2x Combine like terms: x + -2x = -1x -16 + -1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -1x = -6 + 0 -16 + -1x = -6 Add '16' to each side of the equation. -16 + 16 + -1x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -6 + 16 -1x = -6 + 16 Combine like terms: -6 + 16 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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