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Simplifying 0.5 + 3 = 0.75x + -7.75 Combine like terms: 0.5 + 3 = 3.5 3.5 = 0.75x + -7.75 Reorder the terms: 3.5 = -7.75 + 0.75x Solving 3.5 = -7.75 + 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. 3.5 + -0.75x = -7.75 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3.5 + -0.75x = -7.75 + 0.00 3.5 + -0.75x = -7.75 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -0.75x = -7.75 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.75x = -7.75 + -3.5 -0.75x = -7.75 + -3.5 Combine like terms: -7.75 + -3.5 = -11.25 -0.75x = -11.25 Divide each side by '-0.75'. x = 15 Simplifying x = 15
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