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Simplifying (x + 21) + (3x + -10) + (6x + -31) = 180 Reorder the terms: (21 + x) + (3x + -10) + (6x + -31) = 180 Remove parenthesis around (21 + x) 21 + x + (3x + -10) + (6x + -31) = 180 Reorder the terms: 21 + x + (-10 + 3x) + (6x + -31) = 180 Remove parenthesis around (-10 + 3x) 21 + x + -10 + 3x + (6x + -31) = 180 Reorder the terms: 21 + x + -10 + 3x + (-31 + 6x) = 180 Remove parenthesis around (-31 + 6x) 21 + x + -10 + 3x + -31 + 6x = 180 Reorder the terms: 21 + -10 + -31 + x + 3x + 6x = 180 Combine like terms: 21 + -10 = 11 11 + -31 + x + 3x + 6x = 180 Combine like terms: 11 + -31 = -20 -20 + x + 3x + 6x = 180 Combine like terms: x + 3x = 4x -20 + 4x + 6x = 180 Combine like terms: 4x + 6x = 10x -20 + 10x = 180 Solving -20 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 10x = 180 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 180 + 20 10x = 180 + 20 Combine like terms: 180 + 20 = 200 10x = 200 Divide each side by '10'. x = 20 Simplifying x = 20
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