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Simplifying -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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