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Simplifying -6(x + 4) = -18 + -7x Reorder the terms: -6(4 + x) = -18 + -7x (4 * -6 + x * -6) = -18 + -7x (-24 + -6x) = -18 + -7x Solving -24 + -6x = -18 + -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 + -6x + 7x = -18 + -7x + 7x Combine like terms: -6x + 7x = 1x -24 + 1x = -18 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + 1x = -18 + 0 -24 + 1x = -18 Add '24' to each side of the equation. -24 + 24 + 1x = -18 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -18 + 24 1x = -18 + 24 Combine like terms: -18 + 24 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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