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Simplifying 66(x + 11) = 121(x + 6) Reorder the terms: 66(11 + x) = 121(x + 6) (11 * 66 + x * 66) = 121(x + 6) (726 + 66x) = 121(x + 6) Reorder the terms: 726 + 66x = 121(6 + x) 726 + 66x = (6 * 121 + x * 121) 726 + 66x = (726 + 121x) Add '-726' to each side of the equation. 726 + -726 + 66x = 726 + -726 + 121x Combine like terms: 726 + -726 = 0 0 + 66x = 726 + -726 + 121x 66x = 726 + -726 + 121x Combine like terms: 726 + -726 = 0 66x = 0 + 121x 66x = 121x Solving 66x = 121x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-121x' to each side of the equation. 66x + -121x = 121x + -121x Combine like terms: 66x + -121x = -55x -55x = 121x + -121x Combine like terms: 121x + -121x = 0 -55x = 0 Divide each side by '-55'. x = 0 Simplifying x = 0
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