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Simplifying 180 + -1[(2x + 13) + (x + 7)] = 180 + -1(4x + 2) Reorder the terms: 180 + -1[(13 + 2x) + (x + 7)] = 180 + -1(4x + 2) Remove parenthesis around (13 + 2x) 180 + -1[13 + 2x + (x + 7)] = 180 + -1(4x + 2) Reorder the terms: 180 + -1[13 + 2x + (7 + x)] = 180 + -1(4x + 2) Remove parenthesis around (7 + x) 180 + -1[13 + 2x + 7 + x] = 180 + -1(4x + 2) Reorder the terms: 180 + -1[13 + 7 + 2x + x] = 180 + -1(4x + 2) Combine like terms: 13 + 7 = 20 180 + -1[20 + 2x + x] = 180 + -1(4x + 2) Combine like terms: 2x + x = 3x 180 + -1[20 + 3x] = 180 + -1(4x + 2) 180 + [20 * -1 + 3x * -1] = 180 + -1(4x + 2) 180 + [-20 + -3x] = 180 + -1(4x + 2) Combine like terms: 180 + -20 = 160 160 + -3x = 180 + -1(4x + 2) Reorder the terms: 160 + -3x = 180 + -1(2 + 4x) 160 + -3x = 180 + (2 * -1 + 4x * -1) 160 + -3x = 180 + (-2 + -4x) Combine like terms: 180 + -2 = 178 160 + -3x = 178 + -4x Solving 160 + -3x = 178 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 160 + -3x + 4x = 178 + -4x + 4x Combine like terms: -3x + 4x = 1x 160 + 1x = 178 + -4x + 4x Combine like terms: -4x + 4x = 0 160 + 1x = 178 + 0 160 + 1x = 178 Add '-160' to each side of the equation. 160 + -160 + 1x = 178 + -160 Combine like terms: 160 + -160 = 0 0 + 1x = 178 + -160 1x = 178 + -160 Combine like terms: 178 + -160 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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