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Simplifying 360 = x + (x + 35) + (x + -46) + 0.5x Reorder the terms: 360 = x + (35 + x) + (x + -46) + 0.5x Remove parenthesis around (35 + x) 360 = x + 35 + x + (x + -46) + 0.5x Reorder the terms: 360 = x + 35 + x + (-46 + x) + 0.5x Remove parenthesis around (-46 + x) 360 = x + 35 + x + -46 + x + 0.5x Reorder the terms: 360 = 35 + -46 + x + x + x + 0.5x Combine like terms: 35 + -46 = -11 360 = -11 + x + x + x + 0.5x Combine like terms: x + x = 2x 360 = -11 + 2x + x + 0.5x Combine like terms: 2x + x = 3x 360 = -11 + 3x + 0.5x Combine like terms: 3x + 0.5x = 3.5x 360 = -11 + 3.5x Solving 360 = -11 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 360 + -3.5x = -11 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 360 + -3.5x = -11 + 0.0 360 + -3.5x = -11 Add '-360' to each side of the equation. 360 + -360 + -3.5x = -11 + -360 Combine like terms: 360 + -360 = 0 0 + -3.5x = -11 + -360 -3.5x = -11 + -360 Combine like terms: -11 + -360 = -371 -3.5x = -371 Divide each side by '-3.5'. x = 106 Simplifying x = 106
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