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Simplifying 9(2x + -1) + 2(3x + 4) = 20x + 3 Reorder the terms: 9(-1 + 2x) + 2(3x + 4) = 20x + 3 (-1 * 9 + 2x * 9) + 2(3x + 4) = 20x + 3 (-9 + 18x) + 2(3x + 4) = 20x + 3 Reorder the terms: -9 + 18x + 2(4 + 3x) = 20x + 3 -9 + 18x + (4 * 2 + 3x * 2) = 20x + 3 -9 + 18x + (8 + 6x) = 20x + 3 Reorder the terms: -9 + 8 + 18x + 6x = 20x + 3 Combine like terms: -9 + 8 = -1 -1 + 18x + 6x = 20x + 3 Combine like terms: 18x + 6x = 24x -1 + 24x = 20x + 3 Reorder the terms: -1 + 24x = 3 + 20x Solving -1 + 24x = 3 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -1 + 24x + -20x = 3 + 20x + -20x Combine like terms: 24x + -20x = 4x -1 + 4x = 3 + 20x + -20x Combine like terms: 20x + -20x = 0 -1 + 4x = 3 + 0 -1 + 4x = 3 Add '1' to each side of the equation. -1 + 1 + 4x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 3 + 1 4x = 3 + 1 Combine like terms: 3 + 1 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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