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Simplifying 0.25x + -12 = 1.25x + 6 Reorder the terms: -12 + 0.25x = 1.25x + 6 Reorder the terms: -12 + 0.25x = 6 + 1.25x Solving -12 + 0.25x = 6 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. -12 + 0.25x + -1.25x = 6 + 1.25x + -1.25x Combine like terms: 0.25x + -1.25x = -1x -12 + -1x = 6 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 -12 + -1x = 6 + 0.00 -12 + -1x = 6 Add '12' to each side of the equation. -12 + 12 + -1x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 6 + 12 -1x = 6 + 12 Combine like terms: 6 + 12 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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