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Simplifying (180 + -4x + 6) + (x + 24) + (2x + 4) = 180 Reorder the terms: (180 + 6 + -4x) + (x + 24) + (2x + 4) = 180 Combine like terms: 180 + 6 = 186 (186 + -4x) + (x + 24) + (2x + 4) = 180 Remove parenthesis around (186 + -4x) 186 + -4x + (x + 24) + (2x + 4) = 180 Reorder the terms: 186 + -4x + (24 + x) + (2x + 4) = 180 Remove parenthesis around (24 + x) 186 + -4x + 24 + x + (2x + 4) = 180 Reorder the terms: 186 + -4x + 24 + x + (4 + 2x) = 180 Remove parenthesis around (4 + 2x) 186 + -4x + 24 + x + 4 + 2x = 180 Reorder the terms: 186 + 24 + 4 + -4x + x + 2x = 180 Combine like terms: 186 + 24 = 210 210 + 4 + -4x + x + 2x = 180 Combine like terms: 210 + 4 = 214 214 + -4x + x + 2x = 180 Combine like terms: -4x + x = -3x 214 + -3x + 2x = 180 Combine like terms: -3x + 2x = -1x 214 + -1x = 180 Solving 214 + -1x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-214' to each side of the equation. 214 + -214 + -1x = 180 + -214 Combine like terms: 214 + -214 = 0 0 + -1x = 180 + -214 -1x = 180 + -214 Combine like terms: 180 + -214 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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