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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 = 32x 35 + 32x = -99 + -11x + 11x Combine like terms: -11x + 11x = 0 35 + 32x = -99 + 0 35 + 32x = -99 Add '-35' to each side of the equation. 35 + -35 + 32x = -99 + -35 Combine like terms: 35 + -35 = 0 0 + 32x = -99 + -35 32x = -99 + -35 Combine like terms: -99 + -35 = -134 32x = -134 Divide each side by '32'. x = -4.1875 Simplifying x = -4.1875
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