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Simplifying 0.5x + 3 = 0.25(3x + 3) Reorder the terms: 3 + 0.5x = 0.25(3x + 3) Reorder the terms: 3 + 0.5x = 0.25(3 + 3x) 3 + 0.5x = (3 * 0.25 + 3x * 0.25) 3 + 0.5x = (0.75 + 0.75x) Solving 3 + 0.5x = 0.75 + 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. 3 + 0.5x + -0.75x = 0.75 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 3 + -0.25x = 0.75 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3 + -0.25x = 0.75 + 0.00 3 + -0.25x = 0.75 Add '-3' to each side of the equation. 3 + -3 + -0.25x = 0.75 + -3 Combine like terms: 3 + -3 = 0 0 + -0.25x = 0.75 + -3 -0.25x = 0.75 + -3 Combine like terms: 0.75 + -3 = -2.25 -0.25x = -2.25 Divide each side by '-0.25'. x = 9 Simplifying x = 9
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