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Simplifying (17x + -7) + (12x + -17) + 15x + 20x = 360 Reorder the terms: (-7 + 17x) + (12x + -17) + 15x + 20x = 360 Remove parenthesis around (-7 + 17x) -7 + 17x + (12x + -17) + 15x + 20x = 360 Reorder the terms: -7 + 17x + (-17 + 12x) + 15x + 20x = 360 Remove parenthesis around (-17 + 12x) -7 + 17x + -17 + 12x + 15x + 20x = 360 Reorder the terms: -7 + -17 + 17x + 12x + 15x + 20x = 360 Combine like terms: -7 + -17 = -24 -24 + 17x + 12x + 15x + 20x = 360 Combine like terms: 17x + 12x = 29x -24 + 29x + 15x + 20x = 360 Combine like terms: 29x + 15x = 44x -24 + 44x + 20x = 360 Combine like terms: 44x + 20x = 64x -24 + 64x = 360 Solving -24 + 64x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 64x = 360 + 24 Combine like terms: -24 + 24 = 0 0 + 64x = 360 + 24 64x = 360 + 24 Combine like terms: 360 + 24 = 384 64x = 384 Divide each side by '64'. x = 6 Simplifying x = 6
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