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Simplifying (6x + 5) + -1(5x + -12) = 180 Reorder the terms: (5 + 6x) + -1(5x + -12) = 180 Remove parenthesis around (5 + 6x) 5 + 6x + -1(5x + -12) = 180 Reorder the terms: 5 + 6x + -1(-12 + 5x) = 180 5 + 6x + (-12 * -1 + 5x * -1) = 180 5 + 6x + (12 + -5x) = 180 Reorder the terms: 5 + 12 + 6x + -5x = 180 Combine like terms: 5 + 12 = 17 17 + 6x + -5x = 180 Combine like terms: 6x + -5x = 1x 17 + 1x = 180 Solving 17 + 1x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1x = 180 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 180 + -17 1x = 180 + -17 Combine like terms: 180 + -17 = 163 1x = 163 Divide each side by '1'. x = 163 Simplifying x = 163
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