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Simplifying 360 = x + (x + -35) + 0.5x + (x + -46) Reorder the terms: 360 = x + (-35 + x) + 0.5x + (x + -46) Remove parenthesis around (-35 + x) 360 = x + -35 + x + 0.5x + (x + -46) Reorder the terms: 360 = x + -35 + x + 0.5x + (-46 + x) Remove parenthesis around (-46 + x) 360 = x + -35 + x + 0.5x + -46 + x Reorder the terms: 360 = -35 + -46 + x + x + 0.5x + x Combine like terms: -35 + -46 = -81 360 = -81 + x + x + 0.5x + x Combine like terms: x + x = 2x 360 = -81 + 2x + 0.5x + x Combine like terms: 2x + 0.5x = 2.5x 360 = -81 + 2.5x + x Combine like terms: 2.5x + x = 3.5x 360 = -81 + 3.5x Solving 360 = -81 + 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 = -81 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 360 + -3.5x = -81 + 0.0 360 + -3.5x = -81 Add '-360' to each side of the equation. 360 + -360 + -3.5x = -81 + -360 Combine like terms: 360 + -360 = 0 0 + -3.5x = -81 + -360 -3.5x = -81 + -360 Combine like terms: -81 + -360 = -441 -3.5x = -441 Divide each side by '-3.5'. x = 126 Simplifying x = 126
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