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Simplifying 4(3x + -9) = 2(5x + 8) Reorder the terms: 4(-9 + 3x) = 2(5x + 8) (-9 * 4 + 3x * 4) = 2(5x + 8) (-36 + 12x) = 2(5x + 8) Reorder the terms: -36 + 12x = 2(8 + 5x) -36 + 12x = (8 * 2 + 5x * 2) -36 + 12x = (16 + 10x) Solving -36 + 12x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -36 + 12x + -10x = 16 + 10x + -10x Combine like terms: 12x + -10x = 2x -36 + 2x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -36 + 2x = 16 + 0 -36 + 2x = 16 Add '36' to each side of the equation. -36 + 36 + 2x = 16 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = 16 + 36 2x = 16 + 36 Combine like terms: 16 + 36 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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