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Simplifying (180 + -1(6x + 14) + -1(3x + 22)) + (8x + 48) = 180 Reorder the terms: (180 + -1(14 + 6x) + -1(3x + 22)) + (8x + 48) = 180 (180 + (14 * -1 + 6x * -1) + -1(3x + 22)) + (8x + 48) = 180 (180 + (-14 + -6x) + -1(3x + 22)) + (8x + 48) = 180 Reorder the terms: (180 + -14 + -6x + -1(22 + 3x)) + (8x + 48) = 180 (180 + -14 + -6x + (22 * -1 + 3x * -1)) + (8x + 48) = 180 (180 + -14 + -6x + (-22 + -3x)) + (8x + 48) = 180 Reorder the terms: (180 + -14 + -22 + -6x + -3x) + (8x + 48) = 180 Combine like terms: 180 + -14 = 166 (166 + -22 + -6x + -3x) + (8x + 48) = 180 Combine like terms: 166 + -22 = 144 (144 + -6x + -3x) + (8x + 48) = 180 Combine like terms: -6x + -3x = -9x (144 + -9x) + (8x + 48) = 180 Remove parenthesis around (144 + -9x) 144 + -9x + (8x + 48) = 180 Reorder the terms: 144 + -9x + (48 + 8x) = 180 Remove parenthesis around (48 + 8x) 144 + -9x + 48 + 8x = 180 Reorder the terms: 144 + 48 + -9x + 8x = 180 Combine like terms: 144 + 48 = 192 192 + -9x + 8x = 180 Combine like terms: -9x + 8x = -1x 192 + -1x = 180 Solving 192 + -1x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-192' to each side of the equation. 192 + -192 + -1x = 180 + -192 Combine like terms: 192 + -192 = 0 0 + -1x = 180 + -192 -1x = 180 + -192 Combine like terms: 180 + -192 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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