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Simplifying -2(x + 6) = -2 + -7x Reorder the terms: -2(6 + x) = -2 + -7x (6 * -2 + x * -2) = -2 + -7x (-12 + -2x) = -2 + -7x Solving -12 + -2x = -2 + -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. -12 + -2x + 7x = -2 + -7x + 7x Combine like terms: -2x + 7x = 5x -12 + 5x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 5x = -2 + 0 -12 + 5x = -2 Add '12' to each side of the equation. -12 + 12 + 5x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -2 + 12 5x = -2 + 12 Combine like terms: -2 + 12 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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