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Simplifying 0.2(x + 80) + 1.2x = 65 Reorder the terms: 0.2(80 + x) + 1.2x = 65 (80 * 0.2 + x * 0.2) + 1.2x = 65 (16 + 0.2x) + 1.2x = 65 Combine like terms: 0.2x + 1.2x = 1.4x 16 + 1.4x = 65 Solving 16 + 1.4x = 65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1.4x = 65 + -16 Combine like terms: 16 + -16 = 0 0 + 1.4x = 65 + -16 1.4x = 65 + -16 Combine like terms: 65 + -16 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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