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Simplifying -2(2 + 2x) = -6(x + 3) (2 * -2 + 2x * -2) = -6(x + 3) (-4 + -4x) = -6(x + 3) Reorder the terms: -4 + -4x = -6(3 + x) -4 + -4x = (3 * -6 + x * -6) -4 + -4x = (-18 + -6x) Solving -4 + -4x = -18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + -4x + 6x = -18 + -6x + 6x Combine like terms: -4x + 6x = 2x -4 + 2x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 2x = -18 + 0 -4 + 2x = -18 Add '4' to each side of the equation. -4 + 4 + 2x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -18 + 4 2x = -18 + 4 Combine like terms: -18 + 4 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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