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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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