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Simplifying 0.2(x + 90) + 1.2x = 67 Reorder the terms: 0.2(90 + x) + 1.2x = 67 (90 * 0.2 + x * 0.2) + 1.2x = 67 (18 + 0.2x) + 1.2x = 67 Combine like terms: 0.2x + 1.2x = 1.4x 18 + 1.4x = 67 Solving 18 + 1.4x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1.4x = 67 + -18 Combine like terms: 18 + -18 = 0 0 + 1.4x = 67 + -18 1.4x = 67 + -18 Combine like terms: 67 + -18 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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