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Simplifying 0.4(40) + 0.6x = 0.5(40 + x) Multiply 0.4 * 40 16 + 0.6x = 0.5(40 + x) 16 + 0.6x = (40 * 0.5 + x * 0.5) 16 + 0.6x = (20 + 0.5x) Solving 16 + 0.6x = 20 + 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. 16 + 0.6x + -0.5x = 20 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 16 + 0.1x = 20 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 16 + 0.1x = 20 + 0.0 16 + 0.1x = 20 Add '-16' to each side of the equation. 16 + -16 + 0.1x = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 0.1x = 20 + -16 0.1x = 20 + -16 Combine like terms: 20 + -16 = 4 0.1x = 4 Divide each side by '0.1'. x = 40 Simplifying x = 40
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