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Simplifying 0.75x + 5 = 5x + 0.75 Reorder the terms: 5 + 0.75x = 5x + 0.75 Reorder the terms: 5 + 0.75x = 0.75 + 5x Solving 5 + 0.75x = 0.75 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 0.75x + -5x = 0.75 + 5x + -5x Combine like terms: 0.75x + -5x = -4.25x 5 + -4.25x = 0.75 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -4.25x = 0.75 + 0 5 + -4.25x = 0.75 Add '-5' to each side of the equation. 5 + -5 + -4.25x = 0.75 + -5 Combine like terms: 5 + -5 = 0 0 + -4.25x = 0.75 + -5 -4.25x = 0.75 + -5 Combine like terms: 0.75 + -5 = -4.25 -4.25x = -4.25 Divide each side by '-4.25'. x = 1 Simplifying x = 1
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