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Simplifying 7(7x + 1) = -35 + 7x Reorder the terms: 7(1 + 7x) = -35 + 7x (1 * 7 + 7x * 7) = -35 + 7x (7 + 49x) = -35 + 7x Solving 7 + 49x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + 49x + -7x = -35 + 7x + -7x Combine like terms: 49x + -7x = 42x 7 + 42x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + 42x = -35 + 0 7 + 42x = -35 Add '-7' to each side of the equation. 7 + -7 + 42x = -35 + -7 Combine like terms: 7 + -7 = 0 0 + 42x = -35 + -7 42x = -35 + -7 Combine like terms: -35 + -7 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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