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Simplifying 0.25x + 5 = 2x + -9 Reorder the terms: 5 + 0.25x = 2x + -9 Reorder the terms: 5 + 0.25x = -9 + 2x Solving 5 + 0.25x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 0.25x + -2x = -9 + 2x + -2x Combine like terms: 0.25x + -2x = -1.75x 5 + -1.75x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -1.75x = -9 + 0 5 + -1.75x = -9 Add '-5' to each side of the equation. 5 + -5 + -1.75x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -1.75x = -9 + -5 -1.75x = -9 + -5 Combine like terms: -9 + -5 = -14 -1.75x = -14 Divide each side by '-1.75'. x = 8 Simplifying x = 8
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