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Simplifying 0.4x + -0.02(50 + x) = 0.2(60) 0.4x + (50 * -0.02 + x * -0.02) = 0.2(60) 0.4x + (-1 + -0.02x) = 0.2(60) Reorder the terms: -1 + 0.4x + -0.02x = 0.2(60) Combine like terms: 0.4x + -0.02x = 0.38x -1 + 0.38x = 0.2(60) Multiply 0.2 * 60 -1 + 0.38x = 12 Solving -1 + 0.38x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 0.38x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 0.38x = 12 + 1 0.38x = 12 + 1 Combine like terms: 12 + 1 = 13 0.38x = 13 Divide each side by '0.38'. x = 34.21052632 Simplifying x = 34.21052632
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