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Simplifying -8(x + 2) = 4(x + -22) Reorder the terms: -8(2 + x) = 4(x + -22) (2 * -8 + x * -8) = 4(x + -22) (-16 + -8x) = 4(x + -22) Reorder the terms: -16 + -8x = 4(-22 + x) -16 + -8x = (-22 * 4 + x * 4) -16 + -8x = (-88 + 4x) Solving -16 + -8x = -88 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + -8x + -4x = -88 + 4x + -4x Combine like terms: -8x + -4x = -12x -16 + -12x = -88 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -12x = -88 + 0 -16 + -12x = -88 Add '16' to each side of the equation. -16 + 16 + -12x = -88 + 16 Combine like terms: -16 + 16 = 0 0 + -12x = -88 + 16 -12x = -88 + 16 Combine like terms: -88 + 16 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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