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Simplifying 0.8(x + 20) + 0.6x = 65 Reorder the terms: 0.8(20 + x) + 0.6x = 65 (20 * 0.8 + x * 0.8) + 0.6x = 65 (16 + 0.8x) + 0.6x = 65 Combine like terms: 0.8x + 0.6x = 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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