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Simplifying 180 = (3x + 15) + (10x + 9) Reorder the terms: 180 = (15 + 3x) + (10x + 9) Remove parenthesis around (15 + 3x) 180 = 15 + 3x + (10x + 9) Reorder the terms: 180 = 15 + 3x + (9 + 10x) Remove parenthesis around (9 + 10x) 180 = 15 + 3x + 9 + 10x Reorder the terms: 180 = 15 + 9 + 3x + 10x Combine like terms: 15 + 9 = 24 180 = 24 + 3x + 10x Combine like terms: 3x + 10x = 13x 180 = 24 + 13x Solving 180 = 24 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 180 + -13x = 24 + 13x + -13x Combine like terms: 13x + -13x = 0 180 + -13x = 24 + 0 180 + -13x = 24 Add '-180' to each side of the equation. 180 + -180 + -13x = 24 + -180 Combine like terms: 180 + -180 = 0 0 + -13x = 24 + -180 -13x = 24 + -180 Combine like terms: 24 + -180 = -156 -13x = -156 Divide each side by '-13'. x = 12 Simplifying x = 12
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