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Simplifying 0.4x + -0.2(40 + x) = 0.03(60) 0.4x + (40 * -0.2 + x * -0.2) = 0.03(60) 0.4x + (-8 + -0.2x) = 0.03(60) Reorder the terms: -8 + 0.4x + -0.2x = 0.03(60) Combine like terms: 0.4x + -0.2x = 0.2x -8 + 0.2x = 0.03(60) Multiply 0.03 * 60 -8 + 0.2x = 1.8 Solving -8 + 0.2x = 1.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 0.2x = 1.8 + 8 Combine like terms: -8 + 8 = 0 0 + 0.2x = 1.8 + 8 0.2x = 1.8 + 8 Combine like terms: 1.8 + 8 = 9.8 0.2x = 9.8 Divide each side by '0.2'. x = 49 Simplifying x = 49
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