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Simplifying 0.3(x + 10) + 1.3x = 67 Reorder the terms: 0.3(10 + x) + 1.3x = 67 (10 * 0.3 + x * 0.3) + 1.3x = 67 (3 + 0.3x) + 1.3x = 67 Combine like terms: 0.3x + 1.3x = 1.6x 3 + 1.6x = 67 Solving 3 + 1.6x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1.6x = 67 + -3 Combine like terms: 3 + -3 = 0 0 + 1.6x = 67 + -3 1.6x = 67 + -3 Combine like terms: 67 + -3 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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