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Simplifying 0.25x + 0.5(x + 3) = 5 Reorder the terms: 0.25x + 0.5(3 + x) = 5 0.25x + (3 * 0.5 + x * 0.5) = 5 0.25x + (1.5 + 0.5x) = 5 Reorder the terms: 1.5 + 0.25x + 0.5x = 5 Combine like terms: 0.25x + 0.5x = 0.75x 1.5 + 0.75x = 5 Solving 1.5 + 0.75x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.75x = 5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.75x = 5 + -1.5 0.75x = 5 + -1.5 Combine like terms: 5 + -1.5 = 3.5 0.75x = 3.5 Divide each side by '0.75'. x = 4.666666667 Simplifying x = 4.666666667
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