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Simplifying 0.25(2x + 12) = 3(0.25x + -2) Reorder the terms: 0.25(12 + 2x) = 3(0.25x + -2) (12 * 0.25 + 2x * 0.25) = 3(0.25x + -2) (3 + 0.5x) = 3(0.25x + -2) Reorder the terms: 3 + 0.5x = 3(-2 + 0.25x) 3 + 0.5x = (-2 * 3 + 0.25x * 3) 3 + 0.5x = (-6 + 0.75x) Solving 3 + 0.5x = -6 + 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 = -6 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 3 + -0.25x = -6 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3 + -0.25x = -6 + 0.00 3 + -0.25x = -6 Add '-3' to each side of the equation. 3 + -3 + -0.25x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -0.25x = -6 + -3 -0.25x = -6 + -3 Combine like terms: -6 + -3 = -9 -0.25x = -9 Divide each side by '-0.25'. x = 36 Simplifying x = 36
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