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Simplifying 12(x + 2) = 4(x + 2) Reorder the terms: 12(2 + x) = 4(x + 2) (2 * 12 + x * 12) = 4(x + 2) (24 + 12x) = 4(x + 2) Reorder the terms: 24 + 12x = 4(2 + x) 24 + 12x = (2 * 4 + x * 4) 24 + 12x = (8 + 4x) Solving 24 + 12x = 8 + 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 = 8 + 4x + -4x Combine like terms: 12x + -4x = 8x 24 + 8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 8x = 8 + 0 24 + 8x = 8 Add '-24' to each side of the equation. 24 + -24 + 8x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 8 + -24 8x = 8 + -24 Combine like terms: 8 + -24 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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