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Simplifying (x + -18) + (2x + -189) + (0.5x + 9) = 180 Reorder the terms: (-18 + x) + (2x + -189) + (0.5x + 9) = 180 Remove parenthesis around (-18 + x) -18 + x + (2x + -189) + (0.5x + 9) = 180 Reorder the terms: -18 + x + (-189 + 2x) + (0.5x + 9) = 180 Remove parenthesis around (-189 + 2x) -18 + x + -189 + 2x + (0.5x + 9) = 180 Reorder the terms: -18 + x + -189 + 2x + (9 + 0.5x) = 180 Remove parenthesis around (9 + 0.5x) -18 + x + -189 + 2x + 9 + 0.5x = 180 Reorder the terms: -18 + -189 + 9 + x + 2x + 0.5x = 180 Combine like terms: -18 + -189 = -207 -207 + 9 + x + 2x + 0.5x = 180 Combine like terms: -207 + 9 = -198 -198 + x + 2x + 0.5x = 180 Combine like terms: x + 2x = 3x -198 + 3x + 0.5x = 180 Combine like terms: 3x + 0.5x = 3.5x -198 + 3.5x = 180 Solving -198 + 3.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '198' to each side of the equation. -198 + 198 + 3.5x = 180 + 198 Combine like terms: -198 + 198 = 0 0 + 3.5x = 180 + 198 3.5x = 180 + 198 Combine like terms: 180 + 198 = 378 3.5x = 378 Divide each side by '3.5'. x = 108 Simplifying x = 108
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