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Simplifying 0.5x + -7 = 0.75x + -8 Reorder the terms: -7 + 0.5x = 0.75x + -8 Reorder the terms: -7 + 0.5x = -8 + 0.75x Solving -7 + 0.5x = -8 + 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. -7 + 0.5x + -0.75x = -8 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x -7 + -0.25x = -8 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -7 + -0.25x = -8 + 0.00 -7 + -0.25x = -8 Add '7' to each side of the equation. -7 + 7 + -0.25x = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -0.25x = -8 + 7 -0.25x = -8 + 7 Combine like terms: -8 + 7 = -1 -0.25x = -1 Divide each side by '-0.25'. x = 4 Simplifying x = 4
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