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Simplifying 35 + -1x = 6 + 4(5x + 2) Reorder the terms: 35 + -1x = 6 + 4(2 + 5x) 35 + -1x = 6 + (2 * 4 + 5x * 4) 35 + -1x = 6 + (8 + 20x) Combine like terms: 6 + 8 = 14 35 + -1x = 14 + 20x Solving 35 + -1x = 14 + 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. 35 + -1x + -20x = 14 + 20x + -20x Combine like terms: -1x + -20x = -21x 35 + -21x = 14 + 20x + -20x Combine like terms: 20x + -20x = 0 35 + -21x = 14 + 0 35 + -21x = 14 Add '-35' to each side of the equation. 35 + -35 + -21x = 14 + -35 Combine like terms: 35 + -35 = 0 0 + -21x = 14 + -35 -21x = 14 + -35 Combine like terms: 14 + -35 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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