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Simplifying -4(3x + 6) = -14 + -7x Reorder the terms: -4(6 + 3x) = -14 + -7x (6 * -4 + 3x * -4) = -14 + -7x (-24 + -12x) = -14 + -7x Solving -24 + -12x = -14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -24 + -12x + 7x = -14 + -7x + 7x Combine like terms: -12x + 7x = -5x -24 + -5x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + -5x = -14 + 0 -24 + -5x = -14 Add '24' to each side of the equation. -24 + 24 + -5x = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = -14 + 24 -5x = -14 + 24 Combine like terms: -14 + 24 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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