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Simplifying 180 + -1(x + 1) = (2x + 5) Reorder the terms: 180 + -1(1 + x) = (2x + 5) 180 + (1 * -1 + x * -1) = (2x + 5) 180 + (-1 + -1x) = (2x + 5) Combine like terms: 180 + -1 = 179 179 + -1x = (2x + 5) Reorder the terms: 179 + -1x = (5 + 2x) Remove parenthesis around (5 + 2x) 179 + -1x = 5 + 2x Solving 179 + -1x = 5 + 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. 179 + -1x + -2x = 5 + 2x + -2x Combine like terms: -1x + -2x = -3x 179 + -3x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 179 + -3x = 5 + 0 179 + -3x = 5 Add '-179' to each side of the equation. 179 + -179 + -3x = 5 + -179 Combine like terms: 179 + -179 = 0 0 + -3x = 5 + -179 -3x = 5 + -179 Combine like terms: 5 + -179 = -174 -3x = -174 Divide each side by '-3'. x = 58 Simplifying x = 58
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