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Simplifying 0.25(x + 12) = x Reorder the terms: 0.25(12 + x) = x (12 * 0.25 + x * 0.25) = x (3 + 0.25x) = x Solving 3 + 0.25x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 0.25x + -1x = x + -1x Combine like terms: 0.25x + -1x = -0.75x 3 + -0.75x = x + -1x Combine like terms: x + -1x = 0 3 + -0.75x = 0 Add '-3' to each side of the equation. 3 + -3 + -0.75x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.75x = 0 + -3 -0.75x = 0 + -3 Combine like terms: 0 + -3 = -3 -0.75x = -3 Divide each side by '-0.75'. x = 4 Simplifying x = 4
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