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Simplifying 5(9x + -5) = 12 + -11(-1x + -9) Reorder the terms: 5(-5 + 9x) = 12 + -11(-1x + -9) (-5 * 5 + 9x * 5) = 12 + -11(-1x + -9) (-25 + 45x) = 12 + -11(-1x + -9) Reorder the terms: -25 + 45x = 12 + -11(-9 + -1x) -25 + 45x = 12 + (-9 * -11 + -1x * -11) -25 + 45x = 12 + (99 + 11x) Combine like terms: 12 + 99 = 111 -25 + 45x = 111 + 11x Solving -25 + 45x = 111 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -25 + 45x + -11x = 111 + 11x + -11x Combine like terms: 45x + -11x = 34x -25 + 34x = 111 + 11x + -11x Combine like terms: 11x + -11x = 0 -25 + 34x = 111 + 0 -25 + 34x = 111 Add '25' to each side of the equation. -25 + 25 + 34x = 111 + 25 Combine like terms: -25 + 25 = 0 0 + 34x = 111 + 25 34x = 111 + 25 Combine like terms: 111 + 25 = 136 34x = 136 Divide each side by '34'. x = 4 Simplifying x = 4
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