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Simplifying 4(3x + -9) = 4(1 + -2x) Reorder the terms: 4(-9 + 3x) = 4(1 + -2x) (-9 * 4 + 3x * 4) = 4(1 + -2x) (-36 + 12x) = 4(1 + -2x) -36 + 12x = (1 * 4 + -2x * 4) -36 + 12x = (4 + -8x) Solving -36 + 12x = 4 + -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. -36 + 12x + 8x = 4 + -8x + 8x Combine like terms: 12x + 8x = 20x -36 + 20x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -36 + 20x = 4 + 0 -36 + 20x = 4 Add '36' to each side of the equation. -36 + 36 + 20x = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 20x = 4 + 36 20x = 4 + 36 Combine like terms: 4 + 36 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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