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Simplifying 12(x + 3) = 4(2x + 9) + -4x Reorder the terms: 12(3 + x) = 4(2x + 9) + -4x (3 * 12 + x * 12) = 4(2x + 9) + -4x (36 + 12x) = 4(2x + 9) + -4x Reorder the terms: 36 + 12x = 4(9 + 2x) + -4x 36 + 12x = (9 * 4 + 2x * 4) + -4x 36 + 12x = (36 + 8x) + -4x Combine like terms: 8x + -4x = 4x 36 + 12x = 36 + 4x Add '-36' to each side of the equation. 36 + -36 + 12x = 36 + -36 + 4x Combine like terms: 36 + -36 = 0 0 + 12x = 36 + -36 + 4x 12x = 36 + -36 + 4x Combine like terms: 36 + -36 = 0 12x = 0 + 4x 12x = 4x Solving 12x = 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. 12x + -4x = 4x + -4x Combine like terms: 12x + -4x = 8x 8x = 4x + -4x Combine like terms: 4x + -4x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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