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Simplifying 0.26(50) + 0.50x = 0.40(50 + x) Multiply 0.26 * 50 13 + 0.50x = 0.40(50 + x) 13 + 0.50x = (50 * 0.40 + x * 0.40) 13 + 0.50x = (20 + 0.40x) Solving 13 + 0.50x = 20 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 13 + 0.50x + -0.40x = 20 + 0.40x + -0.40x Combine like terms: 0.50x + -0.40x = 0.1x 13 + 0.1x = 20 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 13 + 0.1x = 20 + 0.00 13 + 0.1x = 20 Add '-13' to each side of the equation. 13 + -13 + 0.1x = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 0.1x = 20 + -13 0.1x = 20 + -13 Combine like terms: 20 + -13 = 7 0.1x = 7 Divide each side by '0.1'. x = 70 Simplifying x = 70
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