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Simplifying 10(0.25) = x(0.5) Multiply 10 * 0.25 2.5 = x(0.5) Reorder the terms for easier multiplication: 2.5 = 0.5x Solving 2.5 = 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. 2.5 + -0.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.5 + -0.5x = 0.0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.5x = 0.0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.5x = 0.0 + -2.5 -0.5x = 0.0 + -2.5 Combine like terms: 0.0 + -2.5 = -2.5 -0.5x = -2.5 Divide each side by '-0.5'. x = 5 Simplifying x = 5
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