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Simplifying 180 + -1(4x + 6) + (x + 24) + (2x + 4) = 180 Reorder the terms: 180 + -1(6 + 4x) + (x + 24) + (2x + 4) = 180 180 + (6 * -1 + 4x * -1) + (x + 24) + (2x + 4) = 180 180 + (-6 + -4x) + (x + 24) + (2x + 4) = 180 Reorder the terms: 180 + -6 + -4x + (24 + x) + (2x + 4) = 180 Remove parenthesis around (24 + x) 180 + -6 + -4x + 24 + x + (2x + 4) = 180 Reorder the terms: 180 + -6 + -4x + 24 + x + (4 + 2x) = 180 Remove parenthesis around (4 + 2x) 180 + -6 + -4x + 24 + x + 4 + 2x = 180 Reorder the terms: 180 + -6 + 24 + 4 + -4x + x + 2x = 180 Combine like terms: 180 + -6 = 174 174 + 24 + 4 + -4x + x + 2x = 180 Combine like terms: 174 + 24 = 198 198 + 4 + -4x + x + 2x = 180 Combine like terms: 198 + 4 = 202 202 + -4x + x + 2x = 180 Combine like terms: -4x + x = -3x 202 + -3x + 2x = 180 Combine like terms: -3x + 2x = -1x 202 + -1x = 180 Solving 202 + -1x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-202' to each side of the equation. 202 + -202 + -1x = 180 + -202 Combine like terms: 202 + -202 = 0 0 + -1x = 180 + -202 -1x = 180 + -202 Combine like terms: 180 + -202 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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