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Simplifying 0.4x + 0.1(40) = 0.2(x + 40) Multiply 0.1 * 40 0.4x + 4 = 0.2(x + 40) Reorder the terms: 4 + 0.4x = 0.2(x + 40) Reorder the terms: 4 + 0.4x = 0.2(40 + x) 4 + 0.4x = (40 * 0.2 + x * 0.2) 4 + 0.4x = (8 + 0.2x) Solving 4 + 0.4x = 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. 4 + 0.4x + -0.2x = 8 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 4 + 0.2x = 8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 4 + 0.2x = 8 + 0.0 4 + 0.2x = 8 Add '-4' to each side of the equation. 4 + -4 + 0.2x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 0.2x = 8 + -4 0.2x = 8 + -4 Combine like terms: 8 + -4 = 4 0.2x = 4 Divide each side by '0.2'. x = 20 Simplifying x = 20
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