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Simplifying (x + -29) + (2x + -121) + (0.5x + 15) = 180 Reorder the terms: (-29 + x) + (2x + -121) + (0.5x + 15) = 180 Remove parenthesis around (-29 + x) -29 + x + (2x + -121) + (0.5x + 15) = 180 Reorder the terms: -29 + x + (-121 + 2x) + (0.5x + 15) = 180 Remove parenthesis around (-121 + 2x) -29 + x + -121 + 2x + (0.5x + 15) = 180 Reorder the terms: -29 + x + -121 + 2x + (15 + 0.5x) = 180 Remove parenthesis around (15 + 0.5x) -29 + x + -121 + 2x + 15 + 0.5x = 180 Reorder the terms: -29 + -121 + 15 + x + 2x + 0.5x = 180 Combine like terms: -29 + -121 = -150 -150 + 15 + x + 2x + 0.5x = 180 Combine like terms: -150 + 15 = -135 -135 + x + 2x + 0.5x = 180 Combine like terms: x + 2x = 3x -135 + 3x + 0.5x = 180 Combine like terms: 3x + 0.5x = 3.5x -135 + 3.5x = 180 Solving -135 + 3.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + 3.5x = 180 + 135 Combine like terms: -135 + 135 = 0 0 + 3.5x = 180 + 135 3.5x = 180 + 135 Combine like terms: 180 + 135 = 315 3.5x = 315 Divide each side by '3.5'. x = 90 Simplifying x = 90
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