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Simplifying x + 0.30(5) = 0.50(x + 5) Multiply 0.30 * 5 x + 1.5 = 0.50(x + 5) Reorder the terms: 1.5 + x = 0.50(x + 5) Reorder the terms: 1.5 + x = 0.50(5 + x) 1.5 + x = (5 * 0.50 + x * 0.50) 1.5 + x = (2.5 + 0.50x) Solving 1.5 + 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. 1.5 + x + -0.50x = 2.5 + 0.50x + -0.50x Combine like terms: x + -0.50x = 0.5x 1.5 + 0.5x = 2.5 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 1.5 + 0.5x = 2.5 + 0.00 1.5 + 0.5x = 2.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5x = 2.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5x = 2.5 + -1.5 0.5x = 2.5 + -1.5 Combine like terms: 2.5 + -1.5 = 1 0.5x = 1 Divide each side by '0.5'. x = 2 Simplifying x = 2
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