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Simplifying 12x + -6(3 + 11x) = 8(1 + -7x) 12x + (3 * -6 + 11x * -6) = 8(1 + -7x) 12x + (-18 + -66x) = 8(1 + -7x) Reorder the terms: -18 + 12x + -66x = 8(1 + -7x) Combine like terms: 12x + -66x = -54x -18 + -54x = 8(1 + -7x) -18 + -54x = (1 * 8 + -7x * 8) -18 + -54x = (8 + -56x) Solving -18 + -54x = 8 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -18 + -54x + 56x = 8 + -56x + 56x Combine like terms: -54x + 56x = 2x -18 + 2x = 8 + -56x + 56x Combine like terms: -56x + 56x = 0 -18 + 2x = 8 + 0 -18 + 2x = 8 Add '18' to each side of the equation. -18 + 18 + 2x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 8 + 18 2x = 8 + 18 Combine like terms: 8 + 18 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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