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Simplifying 3(7x + 6) = 10 + -1(2 + -1x) Reorder the terms: 3(6 + 7x) = 10 + -1(2 + -1x) (6 * 3 + 7x * 3) = 10 + -1(2 + -1x) (18 + 21x) = 10 + -1(2 + -1x) 18 + 21x = 10 + (2 * -1 + -1x * -1) 18 + 21x = 10 + (-2 + 1x) Combine like terms: 10 + -2 = 8 18 + 21x = 8 + 1x Solving 18 + 21x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 18 + 21x + -1x = 8 + 1x + -1x Combine like terms: 21x + -1x = 20x 18 + 20x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 18 + 20x = 8 + 0 18 + 20x = 8 Add '-18' to each side of the equation. 18 + -18 + 20x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 20x = 8 + -18 20x = 8 + -18 Combine like terms: 8 + -18 = -10 20x = -10 Divide each side by '20'. x = -0.5 Simplifying x = -0.5
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