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Simplifying 0.25(x + 2) = 6(x + 12) Reorder the terms: 0.25(2 + x) = 6(x + 12) (2 * 0.25 + x * 0.25) = 6(x + 12) (0.5 + 0.25x) = 6(x + 12) Reorder the terms: 0.5 + 0.25x = 6(12 + x) 0.5 + 0.25x = (12 * 6 + x * 6) 0.5 + 0.25x = (72 + 6x) Solving 0.5 + 0.25x = 72 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0.5 + 0.25x + -6x = 72 + 6x + -6x Combine like terms: 0.25x + -6x = -5.75x 0.5 + -5.75x = 72 + 6x + -6x Combine like terms: 6x + -6x = 0 0.5 + -5.75x = 72 + 0 0.5 + -5.75x = 72 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -5.75x = 72 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -5.75x = 72 + -0.5 -5.75x = 72 + -0.5 Combine like terms: 72 + -0.5 = 71.5 -5.75x = 71.5 Divide each side by '-5.75'. x = -12.43478261 Simplifying x = -12.43478261
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