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Simplifying 180 = (3x + 26) + (5x + 52) + (2x + -10) Reorder the terms: 180 = (26 + 3x) + (5x + 52) + (2x + -10) Remove parenthesis around (26 + 3x) 180 = 26 + 3x + (5x + 52) + (2x + -10) Reorder the terms: 180 = 26 + 3x + (52 + 5x) + (2x + -10) Remove parenthesis around (52 + 5x) 180 = 26 + 3x + 52 + 5x + (2x + -10) Reorder the terms: 180 = 26 + 3x + 52 + 5x + (-10 + 2x) Remove parenthesis around (-10 + 2x) 180 = 26 + 3x + 52 + 5x + -10 + 2x Reorder the terms: 180 = 26 + 52 + -10 + 3x + 5x + 2x Combine like terms: 26 + 52 = 78 180 = 78 + -10 + 3x + 5x + 2x Combine like terms: 78 + -10 = 68 180 = 68 + 3x + 5x + 2x Combine like terms: 3x + 5x = 8x 180 = 68 + 8x + 2x Combine like terms: 8x + 2x = 10x 180 = 68 + 10x Solving 180 = 68 + 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 = 68 + 10x + -10x Combine like terms: 10x + -10x = 0 180 + -10x = 68 + 0 180 + -10x = 68 Add '-180' to each side of the equation. 180 + -180 + -10x = 68 + -180 Combine like terms: 180 + -180 = 0 0 + -10x = 68 + -180 -10x = 68 + -180 Combine like terms: 68 + -180 = -112 -10x = -112 Divide each side by '-10'. x = 11.2 Simplifying x = 11.2
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