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Simplifying x + 0.40(5) = 0.50(x + 5) Multiply 0.40 * 5 x + 2 = 0.50(x + 5) Reorder the terms: 2 + x = 0.50(x + 5) Reorder the terms: 2 + x = 0.50(5 + x) 2 + x = (5 * 0.50 + x * 0.50) 2 + x = (2.5 + 0.50x) Solving 2 + x = 2.5 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 2 + x + -0.50x = 2.5 + 0.50x + -0.50x Combine like terms: x + -0.50x = 0.5x 2 + 0.5x = 2.5 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 2 + 0.5x = 2.5 + 0.00 2 + 0.5x = 2.5 Add '-2' to each side of the equation. 2 + -2 + 0.5x = 2.5 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5x = 2.5 + -2 0.5x = 2.5 + -2 Combine like terms: 2.5 + -2 = 0.5 0.5x = 0.5 Divide each side by '0.5'. x = 1 Simplifying x = 1
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