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Simplifying 2(3x + -1) = -6(3 + 9x) Reorder the terms: 2(-1 + 3x) = -6(3 + 9x) (-1 * 2 + 3x * 2) = -6(3 + 9x) (-2 + 6x) = -6(3 + 9x) -2 + 6x = (3 * -6 + 9x * -6) -2 + 6x = (-18 + -54x) Solving -2 + 6x = -18 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -2 + 6x + 54x = -18 + -54x + 54x Combine like terms: 6x + 54x = 60x -2 + 60x = -18 + -54x + 54x Combine like terms: -54x + 54x = 0 -2 + 60x = -18 + 0 -2 + 60x = -18 Add '2' to each side of the equation. -2 + 2 + 60x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 60x = -18 + 2 60x = -18 + 2 Combine like terms: -18 + 2 = -16 60x = -16 Divide each side by '60'. x = -0.2666666667 Simplifying x = -0.2666666667
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