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Simplifying 0.5(5x + 6) = 0.25(3x + 9) Reorder the terms: 0.5(6 + 5x) = 0.25(3x + 9) (6 * 0.5 + 5x * 0.5) = 0.25(3x + 9) (3 + 2.5x) = 0.25(3x + 9) Reorder the terms: 3 + 2.5x = 0.25(9 + 3x) 3 + 2.5x = (9 * 0.25 + 3x * 0.25) 3 + 2.5x = (2.25 + 0.75x) Solving 3 + 2.5x = 2.25 + 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 + 2.5x + -0.75x = 2.25 + 0.75x + -0.75x Combine like terms: 2.5x + -0.75x = 1.75x 3 + 1.75x = 2.25 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3 + 1.75x = 2.25 + 0.00 3 + 1.75x = 2.25 Add '-3' to each side of the equation. 3 + -3 + 1.75x = 2.25 + -3 Combine like terms: 3 + -3 = 0 0 + 1.75x = 2.25 + -3 1.75x = 2.25 + -3 Combine like terms: 2.25 + -3 = -0.75 1.75x = -0.75 Divide each side by '1.75'. x = -0.4285714286 Simplifying x = -0.4285714286
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