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Simplifying 2(x + 2) + -1(x + -12) = 4(x + 4) Reorder the terms: 2(2 + x) + -1(x + -12) = 4(x + 4) (2 * 2 + x * 2) + -1(x + -12) = 4(x + 4) (4 + 2x) + -1(x + -12) = 4(x + 4) Reorder the terms: 4 + 2x + -1(-12 + x) = 4(x + 4) 4 + 2x + (-12 * -1 + x * -1) = 4(x + 4) 4 + 2x + (12 + -1x) = 4(x + 4) Reorder the terms: 4 + 12 + 2x + -1x = 4(x + 4) Combine like terms: 4 + 12 = 16 16 + 2x + -1x = 4(x + 4) Combine like terms: 2x + -1x = 1x 16 + 1x = 4(x + 4) Reorder the terms: 16 + 1x = 4(4 + x) 16 + 1x = (4 * 4 + x * 4) 16 + 1x = (16 + 4x) Add '-16' to each side of the equation. 16 + -16 + 1x = 16 + -16 + 4x Combine like terms: 16 + -16 = 0 0 + 1x = 16 + -16 + 4x 1x = 16 + -16 + 4x Combine like terms: 16 + -16 = 0 1x = 0 + 4x 1x = 4x Solving 1x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1x + -4x = 4x + -4x Combine like terms: 1x + -4x = -3x -3x = 4x + -4x Combine like terms: 4x + -4x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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