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Simplifying 0.80x + 0.20(8) = 0.40(x + 8) Multiply 0.20 * 8 0.80x + 1.6 = 0.40(x + 8) Reorder the terms: 1.6 + 0.80x = 0.40(x + 8) Reorder the terms: 1.6 + 0.80x = 0.40(8 + x) 1.6 + 0.80x = (8 * 0.40 + x * 0.40) 1.6 + 0.80x = (3.2 + 0.40x) Solving 1.6 + 0.80x = 3.2 + 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. 1.6 + 0.80x + -0.40x = 3.2 + 0.40x + -0.40x Combine like terms: 0.80x + -0.40x = 0.4x 1.6 + 0.4x = 3.2 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 1.6 + 0.4x = 3.2 + 0.00 1.6 + 0.4x = 3.2 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.4x = 3.2 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.4x = 3.2 + -1.6 0.4x = 3.2 + -1.6 Combine like terms: 3.2 + -1.6 = 1.6 0.4x = 1.6 Divide each side by '0.4'. x = 4 Simplifying x = 4
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