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Simplifying X + (x + -12) = 2(x + -12) + 2(x + -12) + -4 Reorder the terms: X + (-12 + x) = 2(x + -12) + 2(x + -12) + -4 Remove parenthesis around (-12 + x) X + -12 + x = 2(x + -12) + 2(x + -12) + -4 Reorder the terms: -12 + X + x = 2(x + -12) + 2(x + -12) + -4 Reorder the terms: -12 + X + x = 2(-12 + x) + 2(x + -12) + -4 -12 + X + x = (-12 * 2 + x * 2) + 2(x + -12) + -4 -12 + X + x = (-24 + 2x) + 2(x + -12) + -4 Reorder the terms: -12 + X + x = -24 + 2x + 2(-12 + x) + -4 -12 + X + x = -24 + 2x + (-12 * 2 + x * 2) + -4 -12 + X + x = -24 + 2x + (-24 + 2x) + -4 Reorder the terms: -12 + X + x = -24 + -24 + -4 + 2x + 2x Combine like terms: -24 + -24 = -48 -12 + X + x = -48 + -4 + 2x + 2x Combine like terms: -48 + -4 = -52 -12 + X + x = -52 + 2x + 2x Combine like terms: 2x + 2x = 4x -12 + X + x = -52 + 4x Solving -12 + X + x = -52 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + X + 12 + x = -52 + 12 + 4x Reorder the terms: -12 + 12 + X + x = -52 + 12 + 4x Combine like terms: -12 + 12 = 0 0 + X + x = -52 + 12 + 4x X + x = -52 + 12 + 4x Combine like terms: -52 + 12 = -40 X + x = -40 + 4x Add '-1x' to each side of the equation. X + x + -1x = -40 + 4x + -1x Combine like terms: x + -1x = 0 X + 0 = -40 + 4x + -1x X = -40 + 4x + -1x Combine like terms: 4x + -1x = 3x X = -40 + 3x Simplifying X = -40 + 3x
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