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Simplifying 2(4x + -9) = 3x + 2 Reorder the terms: 2(-9 + 4x) = 3x + 2 (-9 * 2 + 4x * 2) = 3x + 2 (-18 + 8x) = 3x + 2 Reorder the terms: -18 + 8x = 2 + 3x Solving -18 + 8x = 2 + 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 = 2 + 3x + -3x Combine like terms: 8x + -3x = 5x -18 + 5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 5x = 2 + 0 -18 + 5x = 2 Add '18' to each side of the equation. -18 + 18 + 5x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 2 + 18 5x = 2 + 18 Combine like terms: 2 + 18 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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