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Simplifying -0.1(40) + 0.4x = 0.2(40 + x) Multiply -0.1 * 40 -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 = 12 0.2x = 12 Divide each side by '0.2'. x = 60 Simplifying x = 60
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