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Simplifying 8(5 + x) = 11(9 + x) (5 * 8 + x * 8) = 11(9 + x) (40 + 8x) = 11(9 + x) 40 + 8x = (9 * 11 + x * 11) 40 + 8x = (99 + 11x) Solving 40 + 8x = 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. 40 + 8x + -11x = 99 + 11x + -11x Combine like terms: 8x + -11x = -3x 40 + -3x = 99 + 11x + -11x Combine like terms: 11x + -11x = 0 40 + -3x = 99 + 0 40 + -3x = 99 Add '-40' to each side of the equation. 40 + -40 + -3x = 99 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 99 + -40 -3x = 99 + -40 Combine like terms: 99 + -40 = 59 -3x = 59 Divide each side by '-3'. x = -19.66666667 Simplifying x = -19.66666667
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