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Simplifying 7 + -0.75x = 0.5x + -3 Reorder the terms: 7 + -0.75x = -3 + 0.5x Solving 7 + -0.75x = -3 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 7 + -0.75x + -0.5x = -3 + 0.5x + -0.5x Combine like terms: -0.75x + -0.5x = -1.25x 7 + -1.25x = -3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 7 + -1.25x = -3 + 0.0 7 + -1.25x = -3 Add '-7' to each side of the equation. 7 + -7 + -1.25x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -1.25x = -3 + -7 -1.25x = -3 + -7 Combine like terms: -3 + -7 = -10 -1.25x = -10 Divide each side by '-1.25'. x = 8 Simplifying x = 8
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