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Simplifying 360 = (x + -10) + (x + 40) + 2.5x + x Reorder the terms: 360 = (-10 + x) + (x + 40) + 2.5x + x Remove parenthesis around (-10 + x) 360 = -10 + x + (x + 40) + 2.5x + x Reorder the terms: 360 = -10 + x + (40 + x) + 2.5x + x Remove parenthesis around (40 + x) 360 = -10 + x + 40 + x + 2.5x + x Reorder the terms: 360 = -10 + 40 + x + x + 2.5x + x Combine like terms: -10 + 40 = 30 360 = 30 + x + x + 2.5x + x Combine like terms: x + x = 2x 360 = 30 + 2x + 2.5x + x Combine like terms: 2x + 2.5x = 4.5x 360 = 30 + 4.5x + x Combine like terms: 4.5x + x = 5.5x 360 = 30 + 5.5x Solving 360 = 30 + 5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5x' to each side of the equation. 360 + -5.5x = 30 + 5.5x + -5.5x Combine like terms: 5.5x + -5.5x = 0.0 360 + -5.5x = 30 + 0.0 360 + -5.5x = 30 Add '-360' to each side of the equation. 360 + -360 + -5.5x = 30 + -360 Combine like terms: 360 + -360 = 0 0 + -5.5x = 30 + -360 -5.5x = 30 + -360 Combine like terms: 30 + -360 = -330 -5.5x = -330 Divide each side by '-5.5'. x = 60 Simplifying x = 60
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