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Simplifying 2(4x + -9) = 3(x + 4) Reorder the terms: 2(-9 + 4x) = 3(x + 4) (-9 * 2 + 4x * 2) = 3(x + 4) (-18 + 8x) = 3(x + 4) Reorder the terms: -18 + 8x = 3(4 + x) -18 + 8x = (4 * 3 + x * 3) -18 + 8x = (12 + 3x) Solving -18 + 8x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 8x + -3x = 12 + 3x + -3x Combine like terms: 8x + -3x = 5x -18 + 5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 5x = 12 + 0 -18 + 5x = 12 Add '18' to each side of the equation. -18 + 18 + 5x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 12 + 18 5x = 12 + 18 Combine like terms: 12 + 18 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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