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Simplifying (5x + -8) + (8x + -9) = 360 Reorder the terms: (-8 + 5x) + (8x + -9) = 360 Remove parenthesis around (-8 + 5x) -8 + 5x + (8x + -9) = 360 Reorder the terms: -8 + 5x + (-9 + 8x) = 360 Remove parenthesis around (-9 + 8x) -8 + 5x + -9 + 8x = 360 Reorder the terms: -8 + -9 + 5x + 8x = 360 Combine like terms: -8 + -9 = -17 -17 + 5x + 8x = 360 Combine like terms: 5x + 8x = 13x -17 + 13x = 360 Solving -17 + 13x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 13x = 360 + 17 Combine like terms: -17 + 17 = 0 0 + 13x = 360 + 17 13x = 360 + 17 Combine like terms: 360 + 17 = 377 13x = 377 Divide each side by '13'. x = 29 Simplifying x = 29
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