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Simplifying 0.6x + -0.4(50 + x) = 0.4(60) 0.6x + (50 * -0.4 + x * -0.4) = 0.4(60) 0.6x + (-20 + -0.4x) = 0.4(60) Reorder the terms: -20 + 0.6x + -0.4x = 0.4(60) Combine like terms: 0.6x + -0.4x = 0.2x -20 + 0.2x = 0.4(60) Multiply 0.4 * 60 -20 + 0.2x = 24 Solving -20 + 0.2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 0.2x = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 0.2x = 24 + 20 0.2x = 24 + 20 Combine like terms: 24 + 20 = 44 0.2x = 44 Divide each side by '0.2'. x = 220 Simplifying x = 220
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