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Simplifying -3(x + 6) = -7x + -22 Reorder the terms: -3(6 + x) = -7x + -22 (6 * -3 + x * -3) = -7x + -22 (-18 + -3x) = -7x + -22 Reorder the terms: -18 + -3x = -22 + -7x Solving -18 + -3x = -22 + -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. -18 + -3x + 7x = -22 + -7x + 7x Combine like terms: -3x + 7x = 4x -18 + 4x = -22 + -7x + 7x Combine like terms: -7x + 7x = 0 -18 + 4x = -22 + 0 -18 + 4x = -22 Add '18' to each side of the equation. -18 + 18 + 4x = -22 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -22 + 18 4x = -22 + 18 Combine like terms: -22 + 18 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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