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Simplifying 180 = 0.5(30 + (2x + -30)) + x Reorder the terms: 180 = 0.5(30 + (-30 + 2x)) + x Remove parenthesis around (-30 + 2x) 180 = 0.5(30 + -30 + 2x) + x Combine like terms: 30 + -30 = 0 180 = 0.5(0 + 2x) + x 180 = 0.5(2x) + x Remove parenthesis around (2x) 180 = 0.5 * 2x + x Multiply 0.5 * 2 180 = 1x + x Combine like terms: 1x + x = 2x 180 = 2x Solving 180 = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 180 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 180 + -2x = 0 Add '-180' to each side of the equation. 180 + -180 + -2x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -2x = 0 + -180 -2x = 0 + -180 Combine like terms: 0 + -180 = -180 -2x = -180 Divide each side by '-2'. x = 90 Simplifying x = 90
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