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Simplifying -22 + 3x = -7(x + 6) Reorder the terms: -22 + 3x = -7(6 + x) -22 + 3x = (6 * -7 + x * -7) -22 + 3x = (-42 + -7x) Solving -22 + 3x = -42 + -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. -22 + 3x + 7x = -42 + -7x + 7x Combine like terms: 3x + 7x = 10x -22 + 10x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 -22 + 10x = -42 + 0 -22 + 10x = -42 Add '22' to each side of the equation. -22 + 22 + 10x = -42 + 22 Combine like terms: -22 + 22 = 0 0 + 10x = -42 + 22 10x = -42 + 22 Combine like terms: -42 + 22 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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