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Simplifying 0.5(x + 10) = 0.75(x + 2) Reorder the terms: 0.5(10 + x) = 0.75(x + 2) (10 * 0.5 + x * 0.5) = 0.75(x + 2) (5 + 0.5x) = 0.75(x + 2) Reorder the terms: 5 + 0.5x = 0.75(2 + x) 5 + 0.5x = (2 * 0.75 + x * 0.75) 5 + 0.5x = (1.5 + 0.75x) Solving 5 + 0.5x = 1.5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 5 + 0.5x + -0.75x = 1.5 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 5 + -0.25x = 1.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 5 + -0.25x = 1.5 + 0.00 5 + -0.25x = 1.5 Add '-5' to each side of the equation. 5 + -5 + -0.25x = 1.5 + -5 Combine like terms: 5 + -5 = 0 0 + -0.25x = 1.5 + -5 -0.25x = 1.5 + -5 Combine like terms: 1.5 + -5 = -3.5 -0.25x = -3.5 Divide each side by '-0.25'. x = 14 Simplifying x = 14
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