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Simplifying 3x + -5 + 2x + 3 + 7x + -17 + 5x + -12 = 360 Reorder the terms: -5 + 3 + -17 + -12 + 3x + 2x + 7x + 5x = 360 Combine like terms: -5 + 3 = -2 -2 + -17 + -12 + 3x + 2x + 7x + 5x = 360 Combine like terms: -2 + -17 = -19 -19 + -12 + 3x + 2x + 7x + 5x = 360 Combine like terms: -19 + -12 = -31 -31 + 3x + 2x + 7x + 5x = 360 Combine like terms: 3x + 2x = 5x -31 + 5x + 7x + 5x = 360 Combine like terms: 5x + 7x = 12x -31 + 12x + 5x = 360 Combine like terms: 12x + 5x = 17x -31 + 17x = 360 Solving -31 + 17x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 17x = 360 + 31 Combine like terms: -31 + 31 = 0 0 + 17x = 360 + 31 17x = 360 + 31 Combine like terms: 360 + 31 = 391 17x = 391 Divide each side by '17'. x = 23 Simplifying x = 23
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