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Simplifying 6(3 + -1x) = -4(2x + 1) (3 * 6 + -1x * 6) = -4(2x + 1) (18 + -6x) = -4(2x + 1) Reorder the terms: 18 + -6x = -4(1 + 2x) 18 + -6x = (1 * -4 + 2x * -4) 18 + -6x = (-4 + -8x) Solving 18 + -6x = -4 + -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 = -4 + -8x + 8x Combine like terms: -6x + 8x = 2x 18 + 2x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 2x = -4 + 0 18 + 2x = -4 Add '-18' to each side of the equation. 18 + -18 + 2x = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = -4 + -18 2x = -4 + -18 Combine like terms: -4 + -18 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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