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Simplifying -12(x + 3) = 4(x + -22) Reorder the terms: -12(3 + x) = 4(x + -22) (3 * -12 + x * -12) = 4(x + -22) (-36 + -12x) = 4(x + -22) Reorder the terms: -36 + -12x = 4(-22 + x) -36 + -12x = (-22 * 4 + x * 4) -36 + -12x = (-88 + 4x) Solving -36 + -12x = -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. -36 + -12x + -4x = -88 + 4x + -4x Combine like terms: -12x + -4x = -16x -36 + -16x = -88 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + -16x = -88 + 0 -36 + -16x = -88 Add '36' to each side of the equation. -36 + 36 + -16x = -88 + 36 Combine like terms: -36 + 36 = 0 0 + -16x = -88 + 36 -16x = -88 + 36 Combine like terms: -88 + 36 = -52 -16x = -52 Divide each side by '-16'. x = 3.25 Simplifying x = 3.25
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