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Simplifying 180 = (14x + 70) + (20x + 8) Reorder the terms: 180 = (70 + 14x) + (20x + 8) Remove parenthesis around (70 + 14x) 180 = 70 + 14x + (20x + 8) Reorder the terms: 180 = 70 + 14x + (8 + 20x) Remove parenthesis around (8 + 20x) 180 = 70 + 14x + 8 + 20x Reorder the terms: 180 = 70 + 8 + 14x + 20x Combine like terms: 70 + 8 = 78 180 = 78 + 14x + 20x Combine like terms: 14x + 20x = 34x 180 = 78 + 34x Solving 180 = 78 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 180 + -34x = 78 + 34x + -34x Combine like terms: 34x + -34x = 0 180 + -34x = 78 + 0 180 + -34x = 78 Add '-180' to each side of the equation. 180 + -180 + -34x = 78 + -180 Combine like terms: 180 + -180 = 0 0 + -34x = 78 + -180 -34x = 78 + -180 Combine like terms: 78 + -180 = -102 -34x = -102 Divide each side by '-34'. x = 3 Simplifying x = 3
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