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Simplifying 0.1(x + 40) + 1.5x = 68 Reorder the terms: 0.1(40 + x) + 1.5x = 68 (40 * 0.1 + x * 0.1) + 1.5x = 68 (4 + 0.1x) + 1.5x = 68 Combine like terms: 0.1x + 1.5x = 1.6x 4 + 1.6x = 68 Solving 4 + 1.6x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1.6x = 68 + -4 Combine like terms: 4 + -4 = 0 0 + 1.6x = 68 + -4 1.6x = 68 + -4 Combine like terms: 68 + -4 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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