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Simplifying (x + -6) + -1(7x + -2) = 0 Reorder the terms: (-6 + x) + -1(7x + -2) = 0 Remove parenthesis around (-6 + x) -6 + x + -1(7x + -2) = 0 Reorder the terms: -6 + x + -1(-2 + 7x) = 0 -6 + x + (-2 * -1 + 7x * -1) = 0 -6 + x + (2 + -7x) = 0 Reorder the terms: -6 + 2 + x + -7x = 0 Combine like terms: -6 + 2 = -4 -4 + x + -7x = 0 Combine like terms: x + -7x = -6x -4 + -6x = 0 Solving -4 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -6x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 0 + 4 -6x = 0 + 4 Combine like terms: 0 + 4 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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