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Simplifying 7(3x + 5) = 11(x + -9) Reorder the terms: 7(5 + 3x) = 11(x + -9) (5 * 7 + 3x * 7) = 11(x + -9) (35 + 21x) = 11(x + -9) Reorder the terms: 35 + 21x = 11(-9 + x) 35 + 21x = (-9 * 11 + x * 11) 35 + 21x = (-99 + 11x) Solving 35 + 21x = -99 + 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. 35 + 21x + -11x = -99 + 11x + -11x Combine like terms: 21x + -11x = 10x 35 + 10x = -99 + 11x + -11x Combine like terms: 11x + -11x = 0 35 + 10x = -99 + 0 35 + 10x = -99 Add '-35' to each side of the equation. 35 + -35 + 10x = -99 + -35 Combine like terms: 35 + -35 = 0 0 + 10x = -99 + -35 10x = -99 + -35 Combine like terms: -99 + -35 = -134 10x = -134 Divide each side by '10'. x = -13.4 Simplifying x = -13.4
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