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Simplifying 4(3 + -1x) + 8 = 12(3 + -1x) (3 * 4 + -1x * 4) + 8 = 12(3 + -1x) (12 + -4x) + 8 = 12(3 + -1x) Reorder the terms: 12 + 8 + -4x = 12(3 + -1x) Combine like terms: 12 + 8 = 20 20 + -4x = 12(3 + -1x) 20 + -4x = (3 * 12 + -1x * 12) 20 + -4x = (36 + -12x) Solving 20 + -4x = 36 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 20 + -4x + 12x = 36 + -12x + 12x Combine like terms: -4x + 12x = 8x 20 + 8x = 36 + -12x + 12x Combine like terms: -12x + 12x = 0 20 + 8x = 36 + 0 20 + 8x = 36 Add '-20' to each side of the equation. 20 + -20 + 8x = 36 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 36 + -20 8x = 36 + -20 Combine like terms: 36 + -20 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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