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Simplifying (x + -2) + -1(4 + -2x) = 12 Reorder the terms: (-2 + x) + -1(4 + -2x) = 12 Remove parenthesis around (-2 + x) -2 + x + -1(4 + -2x) = 12 -2 + x + (4 * -1 + -2x * -1) = 12 -2 + x + (-4 + 2x) = 12 Reorder the terms: -2 + -4 + x + 2x = 12 Combine like terms: -2 + -4 = -6 -6 + x + 2x = 12 Combine like terms: x + 2x = 3x -6 + 3x = 12 Solving -6 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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