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Simplifying -22 + -8x = -6(x + 6) Reorder the terms: -22 + -8x = -6(6 + x) -22 + -8x = (6 * -6 + x * -6) -22 + -8x = (-36 + -6x) Solving -22 + -8x = -36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -22 + -8x + 6x = -36 + -6x + 6x Combine like terms: -8x + 6x = -2x -22 + -2x = -36 + -6x + 6x Combine like terms: -6x + 6x = 0 -22 + -2x = -36 + 0 -22 + -2x = -36 Add '22' to each side of the equation. -22 + 22 + -2x = -36 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = -36 + 22 -2x = -36 + 22 Combine like terms: -36 + 22 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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