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Simplifying 0.7(x + 10) + 0.9x = 71 Reorder the terms: 0.7(10 + x) + 0.9x = 71 (10 * 0.7 + x * 0.7) + 0.9x = 71 (7 + 0.7x) + 0.9x = 71 Combine like terms: 0.7x + 0.9x = 1.6x 7 + 1.6x = 71 Solving 7 + 1.6x = 71 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1.6x = 71 + -7 Combine like terms: 7 + -7 = 0 0 + 1.6x = 71 + -7 1.6x = 71 + -7 Combine like terms: 71 + -7 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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