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Simplifying -6(2x + 3) = 4x + -2 Reorder the terms: -6(3 + 2x) = 4x + -2 (3 * -6 + 2x * -6) = 4x + -2 (-18 + -12x) = 4x + -2 Reorder the terms: -18 + -12x = -2 + 4x Solving -18 + -12x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + -12x + -4x = -2 + 4x + -4x Combine like terms: -12x + -4x = -16x -18 + -16x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -16x = -2 + 0 -18 + -16x = -2 Add '18' to each side of the equation. -18 + 18 + -16x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -16x = -2 + 18 -16x = -2 + 18 Combine like terms: -2 + 18 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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