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Simplifying (x + 2x + 6) + -1(x + -2x) = 132 Reorder the terms: (6 + x + 2x) + -1(x + -2x) = 132 Combine like terms: x + 2x = 3x (6 + 3x) + -1(x + -2x) = 132 Remove parenthesis around (6 + 3x) 6 + 3x + -1(x + -2x) = 132 Combine like terms: x + -2x = -1x 6 + 3x + -1(-1x) = 132 Remove parenthesis around (-1x) 6 + 3x + -1 * -1x = 132 Multiply -1 * -1 6 + 3x + 1x = 132 Combine like terms: 3x + 1x = 4x 6 + 4x = 132 Solving 6 + 4x = 132 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 + 4x = 132 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 132 + -6 4x = 132 + -6 Combine like terms: 132 + -6 = 126 4x = 126 Divide each side by '4'. x = 31.5 Simplifying x = 31.5
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