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Simplifying 0.1(x + 70) + 0.9x = 32 Reorder the terms: 0.1(70 + x) + 0.9x = 32 (70 * 0.1 + x * 0.1) + 0.9x = 32 (7 + 0.1x) + 0.9x = 32 Combine like terms: 0.1x + 0.9x = 1x 7 + 1x = 32 Solving 7 + 1x = 32 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 + 1x = 32 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 32 + -7 1x = 32 + -7 Combine like terms: 32 + -7 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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