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Simplifying -8x + 22 = -6(x + -6) Reorder the terms: 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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