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Simplifying 0.6x + -0.5(40 + x) = -0.4(40) 0.6x + (40 * -0.5 + x * -0.5) = -0.4(40) 0.6x + (-20 + -0.5x) = -0.4(40) Reorder the terms: -20 + 0.6x + -0.5x = -0.4(40) Combine like terms: 0.6x + -0.5x = 0.1x -20 + 0.1x = -0.4(40) Multiply -0.4 * 40 -20 + 0.1x = -16 Solving -20 + 0.1x = -16 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 + 0.1x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 0.1x = -16 + 20 0.1x = -16 + 20 Combine like terms: -16 + 20 = 4 0.1x = 4 Divide each side by '0.1'. x = 40 Simplifying x = 40
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