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Simplifying 0.5x + 4 = 0.75x + -7 Reorder the terms: 4 + 0.5x = 0.75x + -7 Reorder the terms: 4 + 0.5x = -7 + 0.75x Solving 4 + 0.5x = -7 + 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. 4 + 0.5x + -0.75x = -7 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 4 + -0.25x = -7 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 4 + -0.25x = -7 + 0.00 4 + -0.25x = -7 Add '-4' to each side of the equation. 4 + -4 + -0.25x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -0.25x = -7 + -4 -0.25x = -7 + -4 Combine like terms: -7 + -4 = -11 -0.25x = -11 Divide each side by '-0.25'. x = 44 Simplifying x = 44
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