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Simplifying 53(x + 9) + -54x = -11(1 + -11x) Reorder the terms: 53(9 + x) + -54x = -11(1 + -11x) (9 * 53 + x * 53) + -54x = -11(1 + -11x) (477 + 53x) + -54x = -11(1 + -11x) Combine like terms: 53x + -54x = -1x 477 + -1x = -11(1 + -11x) 477 + -1x = (1 * -11 + -11x * -11) 477 + -1x = (-11 + 121x) Solving 477 + -1x = -11 + 121x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-121x' to each side of the equation. 477 + -1x + -121x = -11 + 121x + -121x Combine like terms: -1x + -121x = -122x 477 + -122x = -11 + 121x + -121x Combine like terms: 121x + -121x = 0 477 + -122x = -11 + 0 477 + -122x = -11 Add '-477' to each side of the equation. 477 + -477 + -122x = -11 + -477 Combine like terms: 477 + -477 = 0 0 + -122x = -11 + -477 -122x = -11 + -477 Combine like terms: -11 + -477 = -488 -122x = -488 Divide each side by '-122'. x = 4 Simplifying x = 4
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