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Simplifying -6(1 + -1x) = 3(-6 + 4x) (1 * -6 + -1x * -6) = 3(-6 + 4x) (-6 + 6x) = 3(-6 + 4x) -6 + 6x = (-6 * 3 + 4x * 3) -6 + 6x = (-18 + 12x) Solving -6 + 6x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 6x + -12x = -18 + 12x + -12x Combine like terms: 6x + -12x = -6x -6 + -6x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -6x = -18 + 0 -6 + -6x = -18 Add '6' to each side of the equation. -6 + 6 + -6x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -18 + 6 -6x = -18 + 6 Combine like terms: -18 + 6 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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