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Simplifying 9(9x + -4) = 12(12x + -3) Reorder the terms: 9(-4 + 9x) = 12(12x + -3) (-4 * 9 + 9x * 9) = 12(12x + -3) (-36 + 81x) = 12(12x + -3) Reorder the terms: -36 + 81x = 12(-3 + 12x) -36 + 81x = (-3 * 12 + 12x * 12) -36 + 81x = (-36 + 144x) Add '36' to each side of the equation. -36 + 36 + 81x = -36 + 36 + 144x Combine like terms: -36 + 36 = 0 0 + 81x = -36 + 36 + 144x 81x = -36 + 36 + 144x Combine like terms: -36 + 36 = 0 81x = 0 + 144x 81x = 144x Solving 81x = 144x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144x' to each side of the equation. 81x + -144x = 144x + -144x Combine like terms: 81x + -144x = -63x -63x = 144x + -144x Combine like terms: 144x + -144x = 0 -63x = 0 Divide each side by '-63'. x = 0 Simplifying x = 0
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