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Simplifying 0.75(x + -7) = x + 50 Reorder the terms: 0.75(-7 + x) = x + 50 (-7 * 0.75 + x * 0.75) = x + 50 (-5.25 + 0.75x) = x + 50 Reorder the terms: -5.25 + 0.75x = 50 + x Solving -5.25 + 0.75x = 50 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5.25 + 0.75x + -1x = 50 + x + -1x Combine like terms: 0.75x + -1x = -0.25x -5.25 + -0.25x = 50 + x + -1x Combine like terms: x + -1x = 0 -5.25 + -0.25x = 50 + 0 -5.25 + -0.25x = 50 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 = 55.25 -0.25x = 55.25 Divide each side by '-0.25'. x = -221 Simplifying x = -221
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