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Simplifying 0.42(50) + 0.6x = 0.5(50 + x) Multiply 0.42 * 50 21 + 0.6x = 0.5(50 + x) 21 + 0.6x = (50 * 0.5 + x * 0.5) 21 + 0.6x = (25 + 0.5x) Solving 21 + 0.6x = 25 + 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. 21 + 0.6x + -0.5x = 25 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 21 + 0.1x = 25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 21 + 0.1x = 25 + 0.0 21 + 0.1x = 25 Add '-21' to each side of the equation. 21 + -21 + 0.1x = 25 + -21 Combine like terms: 21 + -21 = 0 0 + 0.1x = 25 + -21 0.1x = 25 + -21 Combine like terms: 25 + -21 = 4 0.1x = 4 Divide each side by '0.1'. x = 40 Simplifying x = 40
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