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Simplifying 0.5(x + 2) = 0.75x Reorder the terms: 0.5(2 + x) = 0.75x (2 * 0.5 + x * 0.5) = 0.75x (1 + 0.5x) = 0.75x Solving 1 + 0.5x = 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. 1 + 0.5x + -0.75x = 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 1 + -0.25x = 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 1 + -0.25x = 0.00 Add '-1' to each side of the equation. 1 + -1 + -0.25x = 0.00 + -1 Combine like terms: 1 + -1 = 0 0 + -0.25x = 0.00 + -1 -0.25x = 0.00 + -1 Combine like terms: 0.00 + -1 = -1 -0.25x = -1 Divide each side by '-0.25'. x = 4 Simplifying x = 4
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