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Simplifying (5x + -22) + (8x + 46) = 180 Reorder the terms: (-22 + 5x) + (8x + 46) = 180 Remove parenthesis around (-22 + 5x) -22 + 5x + (8x + 46) = 180 Reorder the terms: -22 + 5x + (46 + 8x) = 180 Remove parenthesis around (46 + 8x) -22 + 5x + 46 + 8x = 180 Reorder the terms: -22 + 46 + 5x + 8x = 180 Combine like terms: -22 + 46 = 24 24 + 5x + 8x = 180 Combine like terms: 5x + 8x = 13x 24 + 13x = 180 Solving 24 + 13x = 180 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 + 13x = 180 + -24 Combine like terms: 24 + -24 = 0 0 + 13x = 180 + -24 13x = 180 + -24 Combine like terms: 180 + -24 = 156 13x = 156 Divide each side by '13'. x = 12 Simplifying x = 12
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