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Simplifying 0.40x + 0.16(20 + -1x) = 20(0.4) 0.40x + (20 * 0.16 + -1x * 0.16) = 20(0.4) 0.40x + (3.2 + -0.16x) = 20(0.4) Reorder the terms: 3.2 + 0.40x + -0.16x = 20(0.4) Combine like terms: 0.40x + -0.16x = 0.24x 3.2 + 0.24x = 20(0.4) Multiply 20 * 0.4 3.2 + 0.24x = 8 Solving 3.2 + 0.24x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + 0.24x = 8 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.24x = 8 + -3.2 0.24x = 8 + -3.2 Combine like terms: 8 + -3.2 = 4.8 0.24x = 4.8 Divide each side by '0.24'. x = 20 Simplifying x = 20
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