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Simplifying 180 = (5x + -17) + (3x + -11) Reorder the terms: 180 = (-17 + 5x) + (3x + -11) Remove parenthesis around (-17 + 5x) 180 = -17 + 5x + (3x + -11) Reorder the terms: 180 = -17 + 5x + (-11 + 3x) Remove parenthesis around (-11 + 3x) 180 = -17 + 5x + -11 + 3x Reorder the terms: 180 = -17 + -11 + 5x + 3x Combine like terms: -17 + -11 = -28 180 = -28 + 5x + 3x Combine like terms: 5x + 3x = 8x 180 = -28 + 8x Solving 180 = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 180 + -8x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 180 + -8x = -28 + 0 180 + -8x = -28 Add '-180' to each side of the equation. 180 + -180 + -8x = -28 + -180 Combine like terms: 180 + -180 = 0 0 + -8x = -28 + -180 -8x = -28 + -180 Combine like terms: -28 + -180 = -208 -8x = -208 Divide each side by '-8'. x = 26 Simplifying x = 26
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