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Simplifying (0.2x + 67) + (0.2x + 29) = 180 Reorder the terms: (67 + 0.2x) + (0.2x + 29) = 180 Remove parenthesis around (67 + 0.2x) 67 + 0.2x + (0.2x + 29) = 180 Reorder the terms: 67 + 0.2x + (29 + 0.2x) = 180 Remove parenthesis around (29 + 0.2x) 67 + 0.2x + 29 + 0.2x = 180 Reorder the terms: 67 + 29 + 0.2x + 0.2x = 180 Combine like terms: 67 + 29 = 96 96 + 0.2x + 0.2x = 180 Combine like terms: 0.2x + 0.2x = 0.4x 96 + 0.4x = 180 Solving 96 + 0.4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + 0.4x = 180 + -96 Combine like terms: 96 + -96 = 0 0 + 0.4x = 180 + -96 0.4x = 180 + -96 Combine like terms: 180 + -96 = 84 0.4x = 84 Divide each side by '0.4'. x = 210 Simplifying x = 210
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