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Simplifying 2(x + 4) = 11(x + 5) Reorder the terms: 2(4 + x) = 11(x + 5) (4 * 2 + x * 2) = 11(x + 5) (8 + 2x) = 11(x + 5) Reorder the terms: 8 + 2x = 11(5 + x) 8 + 2x = (5 * 11 + x * 11) 8 + 2x = (55 + 11x) Solving 8 + 2x = 55 + 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. 8 + 2x + -11x = 55 + 11x + -11x Combine like terms: 2x + -11x = -9x 8 + -9x = 55 + 11x + -11x Combine like terms: 11x + -11x = 0 8 + -9x = 55 + 0 8 + -9x = 55 Add '-8' to each side of the equation. 8 + -8 + -9x = 55 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 55 + -8 -9x = 55 + -8 Combine like terms: 55 + -8 = 47 -9x = 47 Divide each side by '-9'. x = -5.222222222 Simplifying x = -5.222222222
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