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Simplifying 3(7x + 6) + -4x = 2(1 + -1x) Reorder the terms: 3(6 + 7x) + -4x = 2(1 + -1x) (6 * 3 + 7x * 3) + -4x = 2(1 + -1x) (18 + 21x) + -4x = 2(1 + -1x) Combine like terms: 21x + -4x = 17x 18 + 17x = 2(1 + -1x) 18 + 17x = (1 * 2 + -1x * 2) 18 + 17x = (2 + -2x) Solving 18 + 17x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + 17x + 2x = 2 + -2x + 2x Combine like terms: 17x + 2x = 19x 18 + 19x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 19x = 2 + 0 18 + 19x = 2 Add '-18' to each side of the equation. 18 + -18 + 19x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 19x = 2 + -18 19x = 2 + -18 Combine like terms: 2 + -18 = -16 19x = -16 Divide each side by '19'. x = -0.8421052632 Simplifying x = -0.8421052632
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