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Simplifying (2x + -19) + (3x + -17) + (x) = 180 Reorder the terms: (-19 + 2x) + (3x + -17) + (x) = 180 Remove parenthesis around (-19 + 2x) -19 + 2x + (3x + -17) + (x) = 180 Reorder the terms: -19 + 2x + (-17 + 3x) + (x) = 180 Remove parenthesis around (-17 + 3x) -19 + 2x + -17 + 3x + (x) = 180 -19 + 2x + -17 + 3x + x = 180 Reorder the terms: -19 + -17 + 2x + 3x + x = 180 Combine like terms: -19 + -17 = -36 -36 + 2x + 3x + x = 180 Combine like terms: 2x + 3x = 5x -36 + 5x + x = 180 Combine like terms: 5x + x = 6x -36 + 6x = 180 Solving -36 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6x = 180 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 180 + 36 6x = 180 + 36 Combine like terms: 180 + 36 = 216 6x = 216 Divide each side by '6'. x = 36 Simplifying x = 36
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