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Simplifying 180 = (2x + 13) + (10x + 3) + (x + 8) Reorder the terms: 180 = (13 + 2x) + (10x + 3) + (x + 8) Remove parenthesis around (13 + 2x) 180 = 13 + 2x + (10x + 3) + (x + 8) Reorder the terms: 180 = 13 + 2x + (3 + 10x) + (x + 8) Remove parenthesis around (3 + 10x) 180 = 13 + 2x + 3 + 10x + (x + 8) Reorder the terms: 180 = 13 + 2x + 3 + 10x + (8 + x) Remove parenthesis around (8 + x) 180 = 13 + 2x + 3 + 10x + 8 + x Reorder the terms: 180 = 13 + 3 + 8 + 2x + 10x + x Combine like terms: 13 + 3 = 16 180 = 16 + 8 + 2x + 10x + x Combine like terms: 16 + 8 = 24 180 = 24 + 2x + 10x + x Combine like terms: 2x + 10x = 12x 180 = 24 + 12x + x Combine like terms: 12x + x = 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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