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Simplifying (3x + -17) + (5x + 21) = 180 Reorder the terms: (-17 + 3x) + (5x + 21) = 180 Remove parenthesis around (-17 + 3x) -17 + 3x + (5x + 21) = 180 Reorder the terms: -17 + 3x + (21 + 5x) = 180 Remove parenthesis around (21 + 5x) -17 + 3x + 21 + 5x = 180 Reorder the terms: -17 + 21 + 3x + 5x = 180 Combine like terms: -17 + 21 = 4 4 + 3x + 5x = 180 Combine like terms: 3x + 5x = 8x 4 + 8x = 180 Solving 4 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8x = 180 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 180 + -4 8x = 180 + -4 Combine like terms: 180 + -4 = 176 8x = 176 Divide each side by '8'. x = 22 Simplifying x = 22
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