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Simplifying x + (x + -46) + (x + -35) + 0.5x = 360 Reorder the terms: x + (-46 + x) + (x + -35) + 0.5x = 360 Remove parenthesis around (-46 + x) x + -46 + x + (x + -35) + 0.5x = 360 Reorder the terms: x + -46 + x + (-35 + x) + 0.5x = 360 Remove parenthesis around (-35 + x) x + -46 + x + -35 + x + 0.5x = 360 Reorder the terms: -46 + -35 + x + x + x + 0.5x = 360 Combine like terms: -46 + -35 = -81 -81 + x + x + x + 0.5x = 360 Combine like terms: x + x = 2x -81 + 2x + x + 0.5x = 360 Combine like terms: 2x + x = 3x -81 + 3x + 0.5x = 360 Combine like terms: 3x + 0.5x = 3.5x -81 + 3.5x = 360 Solving -81 + 3.5x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 3.5x = 360 + 81 Combine like terms: -81 + 81 = 0 0 + 3.5x = 360 + 81 3.5x = 360 + 81 Combine like terms: 360 + 81 = 441 3.5x = 441 Divide each side by '3.5'. x = 126 Simplifying x = 126
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