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