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Simplifying (6x + -17) + (4x + -12) + (2x + 5) = 180 Reorder the terms: (-17 + 6x) + (4x + -12) + (2x + 5) = 180 Remove parenthesis around (-17 + 6x) -17 + 6x + (4x + -12) + (2x + 5) = 180 Reorder the terms: -17 + 6x + (-12 + 4x) + (2x + 5) = 180 Remove parenthesis around (-12 + 4x) -17 + 6x + -12 + 4x + (2x + 5) = 180 Reorder the terms: -17 + 6x + -12 + 4x + (5 + 2x) = 180 Remove parenthesis around (5 + 2x) -17 + 6x + -12 + 4x + 5 + 2x = 180 Reorder the terms: -17 + -12 + 5 + 6x + 4x + 2x = 180 Combine like terms: -17 + -12 = -29 -29 + 5 + 6x + 4x + 2x = 180 Combine like terms: -29 + 5 = -24 -24 + 6x + 4x + 2x = 180 Combine like terms: 6x + 4x = 10x -24 + 10x + 2x = 180 Combine like terms: 10x + 2x = 12x -24 + 12x = 180 Solving -24 + 12x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 12x = 180 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 180 + 24 12x = 180 + 24 Combine like terms: 180 + 24 = 204 12x = 204 Divide each side by '12'. x = 17 Simplifying x = 17
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