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Simplifying 0.10x + 0.6(50 + -1x) = 0.40 * 50 0.10x + (50 * 0.6 + -1x * 0.6) = 0.40 * 50 0.10x + (30 + -0.6x) = 0.40 * 50 Reorder the terms: 30 + 0.10x + -0.6x = 0.40 * 50 Combine like terms: 0.10x + -0.6x = -0.5x 30 + -0.5x = 0.40 * 50 Multiply 0.40 * 50 30 + -0.5x = 20 Solving 30 + -0.5x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -0.5x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -0.5x = 20 + -30 -0.5x = 20 + -30 Combine like terms: 20 + -30 = -10 -0.5x = -10 Divide each side by '-0.5'. x = 20 Simplifying x = 20
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