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Simplifying 11[1 + 6x] + -12 = 7[1 + 7x] + -8 [1 * 11 + 6x * 11] + -12 = 7[1 + 7x] + -8 [11 + 66x] + -12 = 7[1 + 7x] + -8 Reorder the terms: 11 + -12 + 66x = 7[1 + 7x] + -8 Combine like terms: 11 + -12 = -1 -1 + 66x = 7[1 + 7x] + -8 -1 + 66x = [1 * 7 + 7x * 7] + -8 -1 + 66x = [7 + 49x] + -8 Reorder the terms: -1 + 66x = 7 + -8 + 49x Combine like terms: 7 + -8 = -1 -1 + 66x = -1 + 49x Add '1' to each side of the equation. -1 + 1 + 66x = -1 + 1 + 49x Combine like terms: -1 + 1 = 0 0 + 66x = -1 + 1 + 49x 66x = -1 + 1 + 49x Combine like terms: -1 + 1 = 0 66x = 0 + 49x 66x = 49x Solving 66x = 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 66x + -49x = 49x + -49x Combine like terms: 66x + -49x = 17x 17x = 49x + -49x Combine like terms: 49x + -49x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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