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Simplifying 2(x + -12) + -4(x + 12) = 2x Reorder the terms: 2(-12 + x) + -4(x + 12) = 2x (-12 * 2 + x * 2) + -4(x + 12) = 2x (-24 + 2x) + -4(x + 12) = 2x Reorder the terms: -24 + 2x + -4(12 + x) = 2x -24 + 2x + (12 * -4 + x * -4) = 2x -24 + 2x + (-48 + -4x) = 2x Reorder the terms: -24 + -48 + 2x + -4x = 2x Combine like terms: -24 + -48 = -72 -72 + 2x + -4x = 2x Combine like terms: 2x + -4x = -2x -72 + -2x = 2x Solving -72 + -2x = 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. -72 + -2x + -2x = 2x + -2x Combine like terms: -2x + -2x = -4x -72 + -4x = 2x + -2x Combine like terms: 2x + -2x = 0 -72 + -4x = 0 Add '72' to each side of the equation. -72 + 72 + -4x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -4x = 0 + 72 -4x = 0 + 72 Combine like terms: 0 + 72 = 72 -4x = 72 Divide each side by '-4'. x = -18 Simplifying x = -18
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