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Simplifying (8x + -17) + (19x + 4) + (5x + 1) = 180 Reorder the terms: (-17 + 8x) + (19x + 4) + (5x + 1) = 180 Remove parenthesis around (-17 + 8x) -17 + 8x + (19x + 4) + (5x + 1) = 180 Reorder the terms: -17 + 8x + (4 + 19x) + (5x + 1) = 180 Remove parenthesis around (4 + 19x) -17 + 8x + 4 + 19x + (5x + 1) = 180 Reorder the terms: -17 + 8x + 4 + 19x + (1 + 5x) = 180 Remove parenthesis around (1 + 5x) -17 + 8x + 4 + 19x + 1 + 5x = 180 Reorder the terms: -17 + 4 + 1 + 8x + 19x + 5x = 180 Combine like terms: -17 + 4 = -13 -13 + 1 + 8x + 19x + 5x = 180 Combine like terms: -13 + 1 = -12 -12 + 8x + 19x + 5x = 180 Combine like terms: 8x + 19x = 27x -12 + 27x + 5x = 180 Combine like terms: 27x + 5x = 32x -12 + 32x = 180 Solving -12 + 32x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 32x = 180 + 12 Combine like terms: -12 + 12 = 0 0 + 32x = 180 + 12 32x = 180 + 12 Combine like terms: 180 + 12 = 192 32x = 192 Divide each side by '32'. x = 6 Simplifying x = 6
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