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Simplifying 0.5 + 5 = 0.75x + 1 Combine like terms: 0.5 + 5 = 5.5 5.5 = 0.75x + 1 Reorder the terms: 5.5 = 1 + 0.75x Solving 5.5 = 1 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 5.5 + -0.75x = 1 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 5.5 + -0.75x = 1 + 0.00 5.5 + -0.75x = 1 Add '-5.5' to each side of the equation. 5.5 + -5.5 + -0.75x = 1 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -0.75x = 1 + -5.5 -0.75x = 1 + -5.5 Combine like terms: 1 + -5.5 = -4.5 -0.75x = -4.5 Divide each side by '-0.75'. x = 6 Simplifying x = 6
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