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Simplifying 0.80x + 0.20(10) = 0.40(x + 8) Multiply 0.20 * 10 0.80x + 2 = 0.40(x + 8) Reorder the terms: 2 + 0.80x = 0.40(x + 8) Reorder the terms: 2 + 0.80x = 0.40(8 + x) 2 + 0.80x = (8 * 0.40 + x * 0.40) 2 + 0.80x = (3.2 + 0.40x) Solving 2 + 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. 2 + 0.80x + -0.40x = 3.2 + 0.40x + -0.40x Combine like terms: 0.80x + -0.40x = 0.4x 2 + 0.4x = 3.2 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 2 + 0.4x = 3.2 + 0.00 2 + 0.4x = 3.2 Add '-2' to each side of the equation. 2 + -2 + 0.4x = 3.2 + -2 Combine like terms: 2 + -2 = 0 0 + 0.4x = 3.2 + -2 0.4x = 3.2 + -2 Combine like terms: 3.2 + -2 = 1.2 0.4x = 1.2 Divide each side by '0.4'. x = 3 Simplifying x = 3
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