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Simplifying 0.4x + -0.3(60 + x) = 0.2(60) 0.4x + (60 * -0.3 + x * -0.3) = 0.2(60) 0.4x + (-18 + -0.3x) = 0.2(60) Reorder the terms: -18 + 0.4x + -0.3x = 0.2(60) Combine like terms: 0.4x + -0.3x = 0.1x -18 + 0.1x = 0.2(60) Multiply 0.2 * 60 -18 + 0.1x = 12 Solving -18 + 0.1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 0.1x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 0.1x = 12 + 18 0.1x = 12 + 18 Combine like terms: 12 + 18 = 30 0.1x = 30 Divide each side by '0.1'. x = 300 Simplifying x = 300
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