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Simplifying 180 = 80 + x + (180 + -1(3x + -22)) Reorder the terms: 180 = 80 + x + (180 + -1(-22 + 3x)) 180 = 80 + x + (180 + (-22 * -1 + 3x * -1)) 180 = 80 + x + (180 + (22 + -3x)) Combine like terms: 180 + 22 = 202 180 = 80 + x + (202 + -3x) Remove parenthesis around (202 + -3x) 180 = 80 + x + 202 + -3x Reorder the terms: 180 = 80 + 202 + x + -3x Combine like terms: 80 + 202 = 282 180 = 282 + x + -3x Combine like terms: x + -3x = -2x 180 = 282 + -2x Solving 180 = 282 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 180 + 2x = 282 + -2x + 2x Combine like terms: -2x + 2x = 0 180 + 2x = 282 + 0 180 + 2x = 282 Add '-180' to each side of the equation. 180 + -180 + 2x = 282 + -180 Combine like terms: 180 + -180 = 0 0 + 2x = 282 + -180 2x = 282 + -180 Combine like terms: 282 + -180 = 102 2x = 102 Divide each side by '2'. x = 51 Simplifying x = 51
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