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Simplifying 0.5(x + 5) + 0.10x = 5.65 Reorder the terms: 0.5(5 + x) + 0.10x = 5.65 (5 * 0.5 + x * 0.5) + 0.10x = 5.65 (2.5 + 0.5x) + 0.10x = 5.65 Combine like terms: 0.5x + 0.10x = 0.6x 2.5 + 0.6x = 5.65 Solving 2.5 + 0.6x = 5.65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.6x = 5.65 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.6x = 5.65 + -2.5 0.6x = 5.65 + -2.5 Combine like terms: 5.65 + -2.5 = 3.15 0.6x = 3.15 Divide each side by '0.6'. x = 5.25 Simplifying x = 5.25
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