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Simplifying (3x + -1) + (6x + -11) + (8x + -29) = 180 Reorder the terms: (-1 + 3x) + (6x + -11) + (8x + -29) = 180 Remove parenthesis around (-1 + 3x) -1 + 3x + (6x + -11) + (8x + -29) = 180 Reorder the terms: -1 + 3x + (-11 + 6x) + (8x + -29) = 180 Remove parenthesis around (-11 + 6x) -1 + 3x + -11 + 6x + (8x + -29) = 180 Reorder the terms: -1 + 3x + -11 + 6x + (-29 + 8x) = 180 Remove parenthesis around (-29 + 8x) -1 + 3x + -11 + 6x + -29 + 8x = 180 Reorder the terms: -1 + -11 + -29 + 3x + 6x + 8x = 180 Combine like terms: -1 + -11 = -12 -12 + -29 + 3x + 6x + 8x = 180 Combine like terms: -12 + -29 = -41 -41 + 3x + 6x + 8x = 180 Combine like terms: 3x + 6x = 9x -41 + 9x + 8x = 180 Combine like terms: 9x + 8x = 17x -41 + 17x = 180 Solving -41 + 17x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 17x = 180 + 41 Combine like terms: -41 + 41 = 0 0 + 17x = 180 + 41 17x = 180 + 41 Combine like terms: 180 + 41 = 221 17x = 221 Divide each side by '17'. x = 13 Simplifying x = 13
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