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Simplifying 180 + -1[(4x + 5) + (x + 11)] = 180 + -1(6x + 4) Reorder the terms: 180 + -1[(5 + 4x) + (x + 11)] = 180 + -1(6x + 4) Remove parenthesis around (5 + 4x) 180 + -1[5 + 4x + (x + 11)] = 180 + -1(6x + 4) Reorder the terms: 180 + -1[5 + 4x + (11 + x)] = 180 + -1(6x + 4) Remove parenthesis around (11 + x) 180 + -1[5 + 4x + 11 + x] = 180 + -1(6x + 4) Reorder the terms: 180 + -1[5 + 11 + 4x + x] = 180 + -1(6x + 4) Combine like terms: 5 + 11 = 16 180 + -1[16 + 4x + x] = 180 + -1(6x + 4) Combine like terms: 4x + x = 5x 180 + -1[16 + 5x] = 180 + -1(6x + 4) 180 + [16 * -1 + 5x * -1] = 180 + -1(6x + 4) 180 + [-16 + -5x] = 180 + -1(6x + 4) Combine like terms: 180 + -16 = 164 164 + -5x = 180 + -1(6x + 4) Reorder the terms: 164 + -5x = 180 + -1(4 + 6x) 164 + -5x = 180 + (4 * -1 + 6x * -1) 164 + -5x = 180 + (-4 + -6x) Combine like terms: 180 + -4 = 176 164 + -5x = 176 + -6x Solving 164 + -5x = 176 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 164 + -5x + 6x = 176 + -6x + 6x Combine like terms: -5x + 6x = 1x 164 + 1x = 176 + -6x + 6x Combine like terms: -6x + 6x = 0 164 + 1x = 176 + 0 164 + 1x = 176 Add '-164' to each side of the equation. 164 + -164 + 1x = 176 + -164 Combine like terms: 164 + -164 = 0 0 + 1x = 176 + -164 1x = 176 + -164 Combine like terms: 176 + -164 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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