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Simplifying (1 + 7x) + -1(2 + 6x) = 0 Remove parenthesis around (1 + 7x) 1 + 7x + -1(2 + 6x) = 0 1 + 7x + (2 * -1 + 6x * -1) = 0 1 + 7x + (-2 + -6x) = 0 Reorder the terms: 1 + -2 + 7x + -6x = 0 Combine like terms: 1 + -2 = -1 -1 + 7x + -6x = 0 Combine like terms: 7x + -6x = 1x -1 + 1x = 0 Solving -1 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 0 + 1 1x = 0 + 1 Combine like terms: 0 + 1 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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