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Simplifying -1x + -7(1 + -6x) = 34 -1x + (1 * -7 + -6x * -7) = 34 -1x + (-7 + 42x) = 34 Reorder the terms: -7 + -1x + 42x = 34 Combine like terms: -1x + 42x = 41x -7 + 41x = 34 Solving -7 + 41x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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