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Simplifying 12(x + 2) = -4(x + 22) Reorder the terms: 12(2 + x) = -4(x + 22) (2 * 12 + x * 12) = -4(x + 22) (24 + 12x) = -4(x + 22) Reorder the terms: 24 + 12x = -4(22 + x) 24 + 12x = (22 * -4 + x * -4) 24 + 12x = (-88 + -4x) Solving 24 + 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. 24 + 12x + 4x = -88 + -4x + 4x Combine like terms: 12x + 4x = 16x 24 + 16x = -88 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 16x = -88 + 0 24 + 16x = -88 Add '-24' to each side of the equation. 24 + -24 + 16x = -88 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = -88 + -24 16x = -88 + -24 Combine like terms: -88 + -24 = -112 16x = -112 Divide each side by '16'. x = -7 Simplifying x = -7
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