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Simplifying 0.4x + -0.2(60 + x) = 0.2(40) 0.4x + (60 * -0.2 + x * -0.2) = 0.2(40) 0.4x + (-12 + -0.2x) = 0.2(40) Reorder the terms: -12 + 0.4x + -0.2x = 0.2(40) Combine like terms: 0.4x + -0.2x = 0.2x -12 + 0.2x = 0.2(40) Multiply 0.2 * 40 -12 + 0.2x = 8 Solving -12 + 0.2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 0.2x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 0.2x = 8 + 12 0.2x = 8 + 12 Combine like terms: 8 + 12 = 20 0.2x = 20 Divide each side by '0.2'. x = 100 Simplifying x = 100
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