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Simplifying 4.25x + 4 = 4.5x + 5 Reorder the terms: 4 + 4.25x = 4.5x + 5 Reorder the terms: 4 + 4.25x = 5 + 4.5x Solving 4 + 4.25x = 5 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 4 + 4.25x + -4.5x = 5 + 4.5x + -4.5x Combine like terms: 4.25x + -4.5x = -0.25x 4 + -0.25x = 5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 4 + -0.25x = 5 + 0.0 4 + -0.25x = 5 Add '-4' to each side of the equation. 4 + -4 + -0.25x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -0.25x = 5 + -4 -0.25x = 5 + -4 Combine like terms: 5 + -4 = 1 -0.25x = 1 Divide each side by '-0.25'. x = -4 Simplifying x = -4
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