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Simplifying 0.1(x + 100) + 0.7x = 26 Reorder the terms: 0.1(100 + x) + 0.7x = 26 (100 * 0.1 + x * 0.1) + 0.7x = 26 (10 + 0.1x) + 0.7x = 26 Combine like terms: 0.1x + 0.7x = 0.8x 10 + 0.8x = 26 Solving 10 + 0.8x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.8x = 26 + -10 Combine like terms: 10 + -10 = 0 0 + 0.8x = 26 + -10 0.8x = 26 + -10 Combine like terms: 26 + -10 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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