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Simplifying -35 + 7x = 4 + 3(1 + 7x) -35 + 7x = 4 + (1 * 3 + 7x * 3) -35 + 7x = 4 + (3 + 21x) Combine like terms: 4 + 3 = 7 -35 + 7x = 7 + 21x Solving -35 + 7x = 7 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -35 + 7x + -21x = 7 + 21x + -21x Combine like terms: 7x + -21x = -14x -35 + -14x = 7 + 21x + -21x Combine like terms: 21x + -21x = 0 -35 + -14x = 7 + 0 -35 + -14x = 7 Add '35' to each side of the equation. -35 + 35 + -14x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + -14x = 7 + 35 -14x = 7 + 35 Combine like terms: 7 + 35 = 42 -14x = 42 Divide each side by '-14'. x = -3 Simplifying x = -3
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