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Simplifying 0.6x + 0.4(50) = 0.5(x + 40) Multiply 0.4 * 50 0.6x + 20 = 0.5(x + 40) Reorder the terms: 20 + 0.6x = 0.5(x + 40) Reorder the terms: 20 + 0.6x = 0.5(40 + x) 20 + 0.6x = (40 * 0.5 + x * 0.5) 20 + 0.6x = (20 + 0.5x) Add '-20' to each side of the equation. 20 + -20 + 0.6x = 20 + -20 + 0.5x Combine like terms: 20 + -20 = 0 0 + 0.6x = 20 + -20 + 0.5x 0.6x = 20 + -20 + 0.5x Combine like terms: 20 + -20 = 0 0.6x = 0 + 0.5x 0.6x = 0.5x Solving 0.6x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.6x + -0.5x = 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 0.1x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.1x = 0.0 Divide each side by '0.1'. x = 0 Simplifying x = 0
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