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Simplifying 4(5x + -2) + 30 = 17x + 1 Reorder the terms: 4(-2 + 5x) + 30 = 17x + 1 (-2 * 4 + 5x * 4) + 30 = 17x + 1 (-8 + 20x) + 30 = 17x + 1 Reorder the terms: -8 + 30 + 20x = 17x + 1 Combine like terms: -8 + 30 = 22 22 + 20x = 17x + 1 Reorder the terms: 22 + 20x = 1 + 17x Solving 22 + 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. 22 + 20x + -17x = 1 + 17x + -17x Combine like terms: 20x + -17x = 3x 22 + 3x = 1 + 17x + -17x Combine like terms: 17x + -17x = 0 22 + 3x = 1 + 0 22 + 3x = 1 Add '-22' to each side of the equation. 22 + -22 + 3x = 1 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 1 + -22 3x = 1 + -22 Combine like terms: 1 + -22 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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