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Simplifying 7(7x + 1) = -34 + 8x Reorder the terms: 7(1 + 7x) = -34 + 8x (1 * 7 + 7x * 7) = -34 + 8x (7 + 49x) = -34 + 8x Solving 7 + 49x = -34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 49x + -8x = -34 + 8x + -8x Combine like terms: 49x + -8x = 41x 7 + 41x = -34 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 41x = -34 + 0 7 + 41x = -34 Add '-7' to each side of the equation. 7 + -7 + 41x = -34 + -7 Combine like terms: 7 + -7 = 0 0 + 41x = -34 + -7 41x = -34 + -7 Combine like terms: -34 + -7 = -41 41x = -41 Divide each side by '41'. x = -1 Simplifying x = -1
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