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Simplifying 4(5x + 2) + -27 = 17x + -1 Reorder the terms: 4(2 + 5x) + -27 = 17x + -1 (2 * 4 + 5x * 4) + -27 = 17x + -1 (8 + 20x) + -27 = 17x + -1 Reorder the terms: 8 + -27 + 20x = 17x + -1 Combine like terms: 8 + -27 = -19 -19 + 20x = 17x + -1 Reorder the terms: -19 + 20x = -1 + 17x Solving -19 + 20x = -1 + 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. -19 + 20x + -17x = -1 + 17x + -17x Combine like terms: 20x + -17x = 3x -19 + 3x = -1 + 17x + -17x Combine like terms: 17x + -17x = 0 -19 + 3x = -1 + 0 -19 + 3x = -1 Add '19' to each side of the equation. -19 + 19 + 3x = -1 + 19 Combine like terms: -19 + 19 = 0 0 + 3x = -1 + 19 3x = -1 + 19 Combine like terms: -1 + 19 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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