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Simplifying 0.75(x + 7) + -1x = 50 Reorder the terms: 0.75(7 + x) + -1x = 50 (7 * 0.75 + x * 0.75) + -1x = 50 (5.25 + 0.75x) + -1x = 50 Combine like terms: 0.75x + -1x = -0.25x 5.25 + -0.25x = 50 Solving 5.25 + -0.25x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + -0.25x = 50 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + -0.25x = 50 + -5.25 -0.25x = 50 + -5.25 Combine like terms: 50 + -5.25 = 44.75 -0.25x = 44.75 Divide each side by '-0.25'. x = -179 Simplifying x = -179
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