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Simplifying 4(5x + 4) + -38 = 17x + 2 Reorder the terms: 4(4 + 5x) + -38 = 17x + 2 (4 * 4 + 5x * 4) + -38 = 17x + 2 (16 + 20x) + -38 = 17x + 2 Reorder the terms: 16 + -38 + 20x = 17x + 2 Combine like terms: 16 + -38 = -22 -22 + 20x = 17x + 2 Reorder the terms: -22 + 20x = 2 + 17x Solving -22 + 20x = 2 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -22 + 20x + -17x = 2 + 17x + -17x Combine like terms: 20x + -17x = 3x -22 + 3x = 2 + 17x + -17x Combine like terms: 17x + -17x = 0 -22 + 3x = 2 + 0 -22 + 3x = 2 Add '22' to each side of the equation. -22 + 22 + 3x = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = 2 + 22 3x = 2 + 22 Combine like terms: 2 + 22 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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