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Simplifying 20x + (17x + -7) + (12 + -17) + 15x = 360 Reorder the terms: 20x + (-7 + 17x) + (12 + -17) + 15x = 360 Remove parenthesis around (-7 + 17x) 20x + -7 + 17x + (12 + -17) + 15x = 360 Combine like terms: 12 + -17 = -5 20x + -7 + 17x + (-5) + 15x = 360 20x + -7 + 17x + -5 + 15x = 360 Reorder the terms: -7 + -5 + 20x + 17x + 15x = 360 Combine like terms: -7 + -5 = -12 -12 + 20x + 17x + 15x = 360 Combine like terms: 20x + 17x = 37x -12 + 37x + 15x = 360 Combine like terms: 37x + 15x = 52x -12 + 52x = 360 Solving -12 + 52x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 52x = 360 + 12 Combine like terms: -12 + 12 = 0 0 + 52x = 360 + 12 52x = 360 + 12 Combine like terms: 360 + 12 = 372 52x = 372 Divide each side by '52'. x = 7.153846154 Simplifying x = 7.153846154
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