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Simplifying 1.5X + (x + -35) + (X + -46) + x = 360 Reorder the terms: 1.5X + (-35 + x) + (X + -46) + x = 360 Remove parenthesis around (-35 + x) 1.5X + -35 + x + (X + -46) + x = 360 Reorder the terms: 1.5X + -35 + x + (-46 + X) + x = 360 Remove parenthesis around (-46 + X) 1.5X + -35 + x + -46 + X + x = 360 Reorder the terms: -35 + -46 + 1.5X + X + x + x = 360 Combine like terms: -35 + -46 = -81 -81 + 1.5X + X + x + x = 360 Combine like terms: 1.5X + X = 2.5X -81 + 2.5X + x + x = 360 Combine like terms: x + x = 2x -81 + 2.5X + 2x = 360 Solving -81 + 2.5X + 2x = 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 + 2.5X + 81 + 2x = 360 + 81 Reorder the terms: -81 + 81 + 2.5X + 2x = 360 + 81 Combine like terms: -81 + 81 = 0 0 + 2.5X + 2x = 360 + 81 2.5X + 2x = 360 + 81 Combine like terms: 360 + 81 = 441 2.5X + 2x = 441 Add '-2x' to each side of the equation. 2.5X + 2x + -2x = 441 + -2x Combine like terms: 2x + -2x = 0 2.5X + 0 = 441 + -2x 2.5X = 441 + -2x Divide each side by '2.5'. X = 176.4 + -0.8x Simplifying X = 176.4 + -0.8x
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