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Simplifying (3x + 4) + -1(2x + -9) = 180 Reorder the terms: (4 + 3x) + -1(2x + -9) = 180 Remove parenthesis around (4 + 3x) 4 + 3x + -1(2x + -9) = 180 Reorder the terms: 4 + 3x + -1(-9 + 2x) = 180 4 + 3x + (-9 * -1 + 2x * -1) = 180 4 + 3x + (9 + -2x) = 180 Reorder the terms: 4 + 9 + 3x + -2x = 180 Combine like terms: 4 + 9 = 13 13 + 3x + -2x = 180 Combine like terms: 3x + -2x = 1x 13 + 1x = 180 Solving 13 + 1x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1x = 180 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 180 + -13 1x = 180 + -13 Combine like terms: 180 + -13 = 167 1x = 167 Divide each side by '1'. x = 167 Simplifying x = 167
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