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Simplifying -6(x + -2) = -2(x + -22) Reorder the terms: -6(-2 + x) = -2(x + -22) (-2 * -6 + x * -6) = -2(x + -22) (12 + -6x) = -2(x + -22) Reorder the terms: 12 + -6x = -2(-22 + x) 12 + -6x = (-22 * -2 + x * -2) 12 + -6x = (44 + -2x) Solving 12 + -6x = 44 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -6x + 2x = 44 + -2x + 2x Combine like terms: -6x + 2x = -4x 12 + -4x = 44 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -4x = 44 + 0 12 + -4x = 44 Add '-12' to each side of the equation. 12 + -12 + -4x = 44 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 44 + -12 -4x = 44 + -12 Combine like terms: 44 + -12 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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