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Simplifying 0.25x + 5 = 1.25x + -7 Reorder the terms: 5 + 0.25x = 1.25x + -7 Reorder the terms: 5 + 0.25x = -7 + 1.25x Solving 5 + 0.25x = -7 + 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. 5 + 0.25x + -1.25x = -7 + 1.25x + -1.25x Combine like terms: 0.25x + -1.25x = -1x 5 + -1x = -7 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 5 + -1x = -7 + 0.00 5 + -1x = -7 Add '-5' to each side of the equation. 5 + -5 + -1x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -7 + -5 -1x = -7 + -5 Combine like terms: -7 + -5 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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