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Simplifying 0.50(x) + 3 = 0.10(x) + 5 Reorder the terms: 3 + 0.50x = 0.10(x) + 5 Reorder the terms: 3 + 0.50x = 5 + 0.10x Solving 3 + 0.50x = 5 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 3 + 0.50x + -0.10x = 5 + 0.10x + -0.10x Combine like terms: 0.50x + -0.10x = 0.4x 3 + 0.4x = 5 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 3 + 0.4x = 5 + 0.00 3 + 0.4x = 5 Add '-3' to each side of the equation. 3 + -3 + 0.4x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 0.4x = 5 + -3 0.4x = 5 + -3 Combine like terms: 5 + -3 = 2 0.4x = 2 Divide each side by '0.4'. x = 5 Simplifying x = 5
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