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Simplifying 6(3 + -1x) = 4 + -1(2 + 8x) (3 * 6 + -1x * 6) = 4 + -1(2 + 8x) (18 + -6x) = 4 + -1(2 + 8x) 18 + -6x = 4 + (2 * -1 + 8x * -1) 18 + -6x = 4 + (-2 + -8x) Combine like terms: 4 + -2 = 2 18 + -6x = 2 + -8x Solving 18 + -6x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 18 + -6x + 8x = 2 + -8x + 8x Combine like terms: -6x + 8x = 2x 18 + 2x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 2x = 2 + 0 18 + 2x = 2 Add '-18' to each side of the equation. 18 + -18 + 2x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 2 + -18 2x = 2 + -18 Combine like terms: 2 + -18 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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