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Simplifying 180 = (5x + 6) + (2x) + (3x + 4) Reorder the terms: 180 = (6 + 5x) + (2x) + (3x + 4) Remove parenthesis around (6 + 5x) 180 = 6 + 5x + (2x) + (3x + 4) Reorder the terms: 180 = 6 + 5x + (2x) + (4 + 3x) Remove parenthesis around (4 + 3x) 180 = 6 + 5x + (2x) + 4 + 3x Reorder the terms: 180 = 6 + 4 + 5x + (2x) + 3x Combine like terms: 6 + 4 = 10 180 = 10 + 5x + (2x) + 3x Combine like terms: 5x + (2x) = 7x 180 = 10 + 7x + 3x Combine like terms: 7x + 3x = 10x 180 = 10 + 10x Solving 180 = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 180 + -10x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 180 + -10x = 10 + 0 180 + -10x = 10 Add '-180' to each side of the equation. 180 + -180 + -10x = 10 + -180 Combine like terms: 180 + -180 = 0 0 + -10x = 10 + -180 -10x = 10 + -180 Combine like terms: 10 + -180 = -170 -10x = -170 Divide each side by '-10'. x = 17 Simplifying x = 17
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