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Simplifying 0.1(x + 10) + 1.5x = 65 Reorder the terms: 0.1(10 + x) + 1.5x = 65 (10 * 0.1 + x * 0.1) + 1.5x = 65 (1 + 0.1x) + 1.5x = 65 Combine like terms: 0.1x + 1.5x = 1.6x 1 + 1.6x = 65 Solving 1 + 1.6x = 65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1.6x = 65 + -1 Combine like terms: 1 + -1 = 0 0 + 1.6x = 65 + -1 1.6x = 65 + -1 Combine like terms: 65 + -1 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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