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Simplifying (7x + -1) + -1(4x + 5) = 0 Reorder the terms: (-1 + 7x) + -1(4x + 5) = 0 Remove parenthesis around (-1 + 7x) -1 + 7x + -1(4x + 5) = 0 Reorder the terms: -1 + 7x + -1(5 + 4x) = 0 -1 + 7x + (5 * -1 + 4x * -1) = 0 -1 + 7x + (-5 + -4x) = 0 Reorder the terms: -1 + -5 + 7x + -4x = 0 Combine like terms: -1 + -5 = -6 -6 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x -6 + 3x = 0 Solving -6 + 3x = 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 + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 0 + 6 3x = 0 + 6 Combine like terms: 0 + 6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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