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Simplifying 21 + x = 0.5(52 + x) 21 + x = (52 * 0.5 + x * 0.5) 21 + x = (26 + 0.5x) Solving 21 + x = 26 + 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. 21 + x + -0.5x = 26 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x 21 + 0.5x = 26 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 21 + 0.5x = 26 + 0.0 21 + 0.5x = 26 Add '-21' to each side of the equation. 21 + -21 + 0.5x = 26 + -21 Combine like terms: 21 + -21 = 0 0 + 0.5x = 26 + -21 0.5x = 26 + -21 Combine like terms: 26 + -21 = 5 0.5x = 5 Divide each side by '0.5'. x = 10 Simplifying x = 10
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