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Simplifying 0.20(x + 23) + 0.50(x) = 26.30 Reorder the terms: 0.20(23 + x) + 0.50(x) = 26.30 (23 * 0.20 + x * 0.20) + 0.50(x) = 26.30 (4.6 + 0.20x) + 0.50(x) = 26.30 Combine like terms: 0.20x + 0.50x = 0.7x 4.6 + 0.7x = 26.30 Solving 4.6 + 0.7x = 26.30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.7x = 26.30 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.7x = 26.30 + -4.6 0.7x = 26.30 + -4.6 Combine like terms: 26.30 + -4.6 = 21.7 0.7x = 21.7 Divide each side by '0.7'. x = 31 Simplifying x = 31
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