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Simplifying 0.08(40) + 0.3x = 0.2(40 + x) Multiply 0.08 * 40 3.2 + 0.3x = 0.2(40 + x) 3.2 + 0.3x = (40 * 0.2 + x * 0.2) 3.2 + 0.3x = (8 + 0.2x) Solving 3.2 + 0.3x = 8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 3.2 + 0.3x + -0.2x = 8 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x 3.2 + 0.1x = 8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 3.2 + 0.1x = 8 + 0.0 3.2 + 0.1x = 8 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 0.1x = 8 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.1x = 8 + -3.2 0.1x = 8 + -3.2 Combine like terms: 8 + -3.2 = 4.8 0.1x = 4.8 Divide each side by '0.1'. x = 48 Simplifying x = 48
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