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Simplifying 12(x + 3) = 4(2x + 9) Reorder the terms: 12(3 + x) = 4(2x + 9) (3 * 12 + x * 12) = 4(2x + 9) (36 + 12x) = 4(2x + 9) Reorder the terms: 36 + 12x = 4(9 + 2x) 36 + 12x = (9 * 4 + 2x * 4) 36 + 12x = (36 + 8x) Add '-36' to each side of the equation. 36 + -36 + 12x = 36 + -36 + 8x Combine like terms: 36 + -36 = 0 0 + 12x = 36 + -36 + 8x 12x = 36 + -36 + 8x Combine like terms: 36 + -36 = 0 12x = 0 + 8x 12x = 8x Solving 12x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12x + -8x = 8x + -8x Combine like terms: 12x + -8x = 4x 4x = 8x + -8x Combine like terms: 8x + -8x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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