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Simplifying 0.15(40) + 0.66x = 0.40(40 + x) Multiply 0.15 * 40 6 + 0.66x = 0.40(40 + x) 6 + 0.66x = (40 * 0.40 + x * 0.40) 6 + 0.66x = (16 + 0.40x) Solving 6 + 0.66x = 16 + 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. 6 + 0.66x + -0.40x = 16 + 0.40x + -0.40x Combine like terms: 0.66x + -0.40x = 0.26x 6 + 0.26x = 16 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 6 + 0.26x = 16 + 0.00 6 + 0.26x = 16 Add '-6' to each side of the equation. 6 + -6 + 0.26x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 0.26x = 16 + -6 0.26x = 16 + -6 Combine like terms: 16 + -6 = 10 0.26x = 10 Divide each side by '0.26'. x = 38.46153846 Simplifying x = 38.46153846
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