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Simplifying 0.32(50) + 0.5x = 0.4(50 + x) Multiply 0.32 * 50 16 + 0.5x = 0.4(50 + x) 16 + 0.5x = (50 * 0.4 + x * 0.4) 16 + 0.5x = (20 + 0.4x) Solving 16 + 0.5x = 20 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 16 + 0.5x + -0.4x = 20 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 16 + 0.1x = 20 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 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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