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Simplifying -6(1 + x) = -9 + -7x (1 * -6 + x * -6) = -9 + -7x (-6 + -6x) = -9 + -7x Solving -6 + -6x = -9 + -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. -6 + -6x + 7x = -9 + -7x + 7x Combine like terms: -6x + 7x = 1x -6 + 1x = -9 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 1x = -9 + 0 -6 + 1x = -9 Add '6' to each side of the equation. -6 + 6 + 1x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -9 + 6 1x = -9 + 6 Combine like terms: -9 + 6 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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