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Simplifying 5.75 + 0.75 = 4.50 + 1x Combine like terms: 5.75 + 0.75 = 6.5 6.5 = 4.50 + 1x Solving 6.5 = 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. 6.5 + -1x = 4.50 + 1x + -1x Combine like terms: 1x + -1x = 0 6.5 + -1x = 4.50 + 0 6.5 + -1x = 4.50 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -1x = 4.50 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -1x = 4.50 + -6.5 -1x = 4.50 + -6.5 Combine like terms: 4.50 + -6.5 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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