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Simplifying (3x + -12) + -1(2x + -4) = 0 Reorder the terms: (-12 + 3x) + -1(2x + -4) = 0 Remove parenthesis around (-12 + 3x) -12 + 3x + -1(2x + -4) = 0 Reorder the terms: -12 + 3x + -1(-4 + 2x) = 0 -12 + 3x + (-4 * -1 + 2x * -1) = 0 -12 + 3x + (4 + -2x) = 0 Reorder the terms: -12 + 4 + 3x + -2x = 0 Combine like terms: -12 + 4 = -8 -8 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x -8 + 1x = 0 Solving -8 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 0 + 8 1x = 0 + 8 Combine like terms: 0 + 8 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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