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Simplifying 6(11 + x) = 11(5 + x) (11 * 6 + x * 6) = 11(5 + x) (66 + 6x) = 11(5 + x) 66 + 6x = (5 * 11 + x * 11) 66 + 6x = (55 + 11x) Solving 66 + 6x = 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. 66 + 6x + -11x = 55 + 11x + -11x Combine like terms: 6x + -11x = -5x 66 + -5x = 55 + 11x + -11x Combine like terms: 11x + -11x = 0 66 + -5x = 55 + 0 66 + -5x = 55 Add '-66' to each side of the equation. 66 + -66 + -5x = 55 + -66 Combine like terms: 66 + -66 = 0 0 + -5x = 55 + -66 -5x = 55 + -66 Combine like terms: 55 + -66 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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