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Simplifying (7x + 2) + (x + -4) + -1(5x + 1) = 0 Reorder the terms: (2 + 7x) + (x + -4) + -1(5x + 1) = 0 Remove parenthesis around (2 + 7x) 2 + 7x + (x + -4) + -1(5x + 1) = 0 Reorder the terms: 2 + 7x + (-4 + x) + -1(5x + 1) = 0 Remove parenthesis around (-4 + x) 2 + 7x + -4 + x + -1(5x + 1) = 0 Reorder the terms: 2 + 7x + -4 + x + -1(1 + 5x) = 0 2 + 7x + -4 + x + (1 * -1 + 5x * -1) = 0 2 + 7x + -4 + x + (-1 + -5x) = 0 Reorder the terms: 2 + -4 + -1 + 7x + x + -5x = 0 Combine like terms: 2 + -4 = -2 -2 + -1 + 7x + x + -5x = 0 Combine like terms: -2 + -1 = -3 -3 + 7x + x + -5x = 0 Combine like terms: 7x + x = 8x -3 + 8x + -5x = 0 Combine like terms: 8x + -5x = 3x -3 + 3x = 0 Solving -3 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 0 + 3 3x = 0 + 3 Combine like terms: 0 + 3 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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