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Simplifying 4(5x + 2) + 2 = 17x + 4 Reorder the terms: 4(2 + 5x) + 2 = 17x + 4 (2 * 4 + 5x * 4) + 2 = 17x + 4 (8 + 20x) + 2 = 17x + 4 Reorder the terms: 8 + 2 + 20x = 17x + 4 Combine like terms: 8 + 2 = 10 10 + 20x = 17x + 4 Reorder the terms: 10 + 20x = 4 + 17x Solving 10 + 20x = 4 + 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. 10 + 20x + -17x = 4 + 17x + -17x Combine like terms: 20x + -17x = 3x 10 + 3x = 4 + 17x + -17x Combine like terms: 17x + -17x = 0 10 + 3x = 4 + 0 10 + 3x = 4 Add '-10' to each side of the equation. 10 + -10 + 3x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 4 + -10 3x = 4 + -10 Combine like terms: 4 + -10 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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