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Simplifying 5(7x + 1) = -30 Reorder the terms: 5(1 + 7x) = -30 (1 * 5 + 7x * 5) = -30 (5 + 35x) = -30 Solving 5 + 35x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 35x = -30 + -5 Combine like terms: 5 + -5 = 0 0 + 35x = -30 + -5 35x = -30 + -5 Combine like terms: -30 + -5 = -35 35x = -35 Divide each side by '35'. x = -1 Simplifying x = -1