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Simplifying (8x + 2) + (x + -7) + -1(3x + 1) = 0 Reorder the terms: (2 + 8x) + (x + -7) + -1(3x + 1) = 0 Remove parenthesis around (2 + 8x) 2 + 8x + (x + -7) + -1(3x + 1) = 0 Reorder the terms: 2 + 8x + (-7 + x) + -1(3x + 1) = 0 Remove parenthesis around (-7 + x) 2 + 8x + -7 + x + -1(3x + 1) = 0 Reorder the terms: 2 + 8x + -7 + x + -1(1 + 3x) = 0 2 + 8x + -7 + x + (1 * -1 + 3x * -1) = 0 2 + 8x + -7 + x + (-1 + -3x) = 0 Reorder the terms: 2 + -7 + -1 + 8x + x + -3x = 0 Combine like terms: 2 + -7 = -5 -5 + -1 + 8x + x + -3x = 0 Combine like terms: -5 + -1 = -6 -6 + 8x + x + -3x = 0 Combine like terms: 8x + x = 9x -6 + 9x + -3x = 0 Combine like terms: 9x + -3x = 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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