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Simplifying 12(12x + 3) = 4(2x + 9) + 4x Reorder the terms: 12(3 + 12x) = 4(2x + 9) + 4x (3 * 12 + 12x * 12) = 4(2x + 9) + 4x (36 + 144x) = 4(2x + 9) + 4x Reorder the terms: 36 + 144x = 4(9 + 2x) + 4x 36 + 144x = (9 * 4 + 2x * 4) + 4x 36 + 144x = (36 + 8x) + 4x Combine like terms: 8x + 4x = 12x 36 + 144x = 36 + 12x Add '-36' to each side of the equation. 36 + -36 + 144x = 36 + -36 + 12x Combine like terms: 36 + -36 = 0 0 + 144x = 36 + -36 + 12x 144x = 36 + -36 + 12x Combine like terms: 36 + -36 = 0 144x = 0 + 12x 144x = 12x Solving 144x = 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. 144x + -12x = 12x + -12x Combine like terms: 144x + -12x = 132x 132x = 12x + -12x Combine like terms: 12x + -12x = 0 132x = 0 Divide each side by '132'. x = 0 Simplifying x = 0
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