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Simplifying 50(16 + -1x) = -12(x + 7) (16 * 50 + -1x * 50) = -12(x + 7) (800 + -50x) = -12(x + 7) Reorder the terms: 800 + -50x = -12(7 + x) 800 + -50x = (7 * -12 + x * -12) 800 + -50x = (-84 + -12x) Solving 800 + -50x = -84 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 800 + -50x + 12x = -84 + -12x + 12x Combine like terms: -50x + 12x = -38x 800 + -38x = -84 + -12x + 12x Combine like terms: -12x + 12x = 0 800 + -38x = -84 + 0 800 + -38x = -84 Add '-800' to each side of the equation. 800 + -800 + -38x = -84 + -800 Combine like terms: 800 + -800 = 0 0 + -38x = -84 + -800 -38x = -84 + -800 Combine like terms: -84 + -800 = -884 -38x = -884 Divide each side by '-38'. x = 23.26315789 Simplifying x = 23.26315789
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