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Simplifying (38x + -14) + (26x + 22) = 180 Reorder the terms: (-14 + 38x) + (26x + 22) = 180 Remove parenthesis around (-14 + 38x) -14 + 38x + (26x + 22) = 180 Reorder the terms: -14 + 38x + (22 + 26x) = 180 Remove parenthesis around (22 + 26x) -14 + 38x + 22 + 26x = 180 Reorder the terms: -14 + 22 + 38x + 26x = 180 Combine like terms: -14 + 22 = 8 8 + 38x + 26x = 180 Combine like terms: 38x + 26x = 64x 8 + 64x = 180 Solving 8 + 64x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 64x = 180 + -8 Combine like terms: 8 + -8 = 0 0 + 64x = 180 + -8 64x = 180 + -8 Combine like terms: 180 + -8 = 172 64x = 172 Divide each side by '64'. x = 2.6875 Simplifying x = 2.6875
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