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Simplifying 0.25(3x + 45) = 3x Reorder the terms: 0.25(45 + 3x) = 3x (45 * 0.25 + 3x * 0.25) = 3x (11.25 + 0.75x) = 3x Solving 11.25 + 0.75x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11.25 + 0.75x + -3x = 3x + -3x Combine like terms: 0.75x + -3x = -2.25x 11.25 + -2.25x = 3x + -3x Combine like terms: 3x + -3x = 0 11.25 + -2.25x = 0 Add '-11.25' to each side of the equation. 11.25 + -11.25 + -2.25x = 0 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + -2.25x = 0 + -11.25 -2.25x = 0 + -11.25 Combine like terms: 0 + -11.25 = -11.25 -2.25x = -11.25 Divide each side by '-2.25'. x = 5 Simplifying x = 5
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