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Simplifying 7x + 82 + (180 + -1(16x + -8)) = 180 Reorder the terms: 7x + 82 + (180 + -1(-8 + 16x)) = 180 7x + 82 + (180 + (-8 * -1 + 16x * -1)) = 180 7x + 82 + (180 + (8 + -16x)) = 180 Combine like terms: 180 + 8 = 188 7x + 82 + (188 + -16x) = 180 Remove parenthesis around (188 + -16x) 7x + 82 + 188 + -16x = 180 Reorder the terms: 82 + 188 + 7x + -16x = 180 Combine like terms: 82 + 188 = 270 270 + 7x + -16x = 180 Combine like terms: 7x + -16x = -9x 270 + -9x = 180 Solving 270 + -9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-270' to each side of the equation. 270 + -270 + -9x = 180 + -270 Combine like terms: 270 + -270 = 0 0 + -9x = 180 + -270 -9x = 180 + -270 Combine like terms: 180 + -270 = -90 -9x = -90 Divide each side by '-9'. x = 10 Simplifying x = 10
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