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Simplifying -2(3 + 6x) = -2x + -8(3x + 6) (3 * -2 + 6x * -2) = -2x + -8(3x + 6) (-6 + -12x) = -2x + -8(3x + 6) Reorder the terms: -6 + -12x = -2x + -8(6 + 3x) -6 + -12x = -2x + (6 * -8 + 3x * -8) -6 + -12x = -2x + (-48 + -24x) Reorder the terms: -6 + -12x = -48 + -2x + -24x Combine like terms: -2x + -24x = -26x -6 + -12x = -48 + -26x Solving -6 + -12x = -48 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -6 + -12x + 26x = -48 + -26x + 26x Combine like terms: -12x + 26x = 14x -6 + 14x = -48 + -26x + 26x Combine like terms: -26x + 26x = 0 -6 + 14x = -48 + 0 -6 + 14x = -48 Add '6' to each side of the equation. -6 + 6 + 14x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = -48 + 6 14x = -48 + 6 Combine like terms: -48 + 6 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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