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Simplifying (5x + -22) + (8x + 7) = 180 Reorder the terms: (-22 + 5x) + (8x + 7) = 180 Remove parenthesis around (-22 + 5x) -22 + 5x + (8x + 7) = 180 Reorder the terms: -22 + 5x + (7 + 8x) = 180 Remove parenthesis around (7 + 8x) -22 + 5x + 7 + 8x = 180 Reorder the terms: -22 + 7 + 5x + 8x = 180 Combine like terms: -22 + 7 = -15 -15 + 5x + 8x = 180 Combine like terms: 5x + 8x = 13x -15 + 13x = 180 Solving -15 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 13x = 180 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 180 + 15 13x = 180 + 15 Combine like terms: 180 + 15 = 195 13x = 195 Divide each side by '13'. x = 15 Simplifying x = 15
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