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Simplifying (180 + -1(x + 12) + -1(4x + -67)) + (8x + -154) = 180 Reorder the terms: (180 + -1(12 + x) + -1(4x + -67)) + (8x + -154) = 180 (180 + (12 * -1 + x * -1) + -1(4x + -67)) + (8x + -154) = 180 (180 + (-12 + -1x) + -1(4x + -67)) + (8x + -154) = 180 Reorder the terms: (180 + -12 + -1x + -1(-67 + 4x)) + (8x + -154) = 180 (180 + -12 + -1x + (-67 * -1 + 4x * -1)) + (8x + -154) = 180 (180 + -12 + -1x + (67 + -4x)) + (8x + -154) = 180 Reorder the terms: (180 + -12 + 67 + -1x + -4x) + (8x + -154) = 180 Combine like terms: 180 + -12 = 168 (168 + 67 + -1x + -4x) + (8x + -154) = 180 Combine like terms: 168 + 67 = 235 (235 + -1x + -4x) + (8x + -154) = 180 Combine like terms: -1x + -4x = -5x (235 + -5x) + (8x + -154) = 180 Remove parenthesis around (235 + -5x) 235 + -5x + (8x + -154) = 180 Reorder the terms: 235 + -5x + (-154 + 8x) = 180 Remove parenthesis around (-154 + 8x) 235 + -5x + -154 + 8x = 180 Reorder the terms: 235 + -154 + -5x + 8x = 180 Combine like terms: 235 + -154 = 81 81 + -5x + 8x = 180 Combine like terms: -5x + 8x = 3x 81 + 3x = 180 Solving 81 + 3x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 3x = 180 + -81 Combine like terms: 81 + -81 = 0 0 + 3x = 180 + -81 3x = 180 + -81 Combine like terms: 180 + -81 = 99 3x = 99 Divide each side by '3'. x = 33 Simplifying x = 33
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