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Simplifying 20x + (17x + -7) + 15x + (12x + -17) = 360 Reorder the terms: 20x + (-7 + 17x) + 15x + (12x + -17) = 360 Remove parenthesis around (-7 + 17x) 20x + -7 + 17x + 15x + (12x + -17) = 360 Reorder the terms: 20x + -7 + 17x + 15x + (-17 + 12x) = 360 Remove parenthesis around (-17 + 12x) 20x + -7 + 17x + 15x + -17 + 12x = 360 Reorder the terms: -7 + -17 + 20x + 17x + 15x + 12x = 360 Combine like terms: -7 + -17 = -24 -24 + 20x + 17x + 15x + 12x = 360 Combine like terms: 20x + 17x = 37x -24 + 37x + 15x + 12x = 360 Combine like terms: 37x + 15x = 52x -24 + 52x + 12x = 360 Combine like terms: 52x + 12x = 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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