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