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Simplifying 5.75 + 0.75x = 4.50 + 1x Solving 5.75 + 0.75x = 4.50 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5.75 + 0.75x + -1x = 4.50 + 1x + -1x Combine like terms: 0.75x + -1x = -0.25x 5.75 + -0.25x = 4.50 + 1x + -1x Combine like terms: 1x + -1x = 0 5.75 + -0.25x = 4.50 + 0 5.75 + -0.25x = 4.50 Add '-5.75' to each side of the equation. 5.75 + -5.75 + -0.25x = 4.50 + -5.75 Combine like terms: 5.75 + -5.75 = 0.00 0.00 + -0.25x = 4.50 + -5.75 -0.25x = 4.50 + -5.75 Combine like terms: 4.50 + -5.75 = -1.25 -0.25x = -1.25 Divide each side by '-0.25'. x = 5 Simplifying x = 5
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