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Simplifying (8x + -3) + -1(7x + 1) = -6 Reorder the terms: (-3 + 8x) + -1(7x + 1) = -6 Remove parenthesis around (-3 + 8x) -3 + 8x + -1(7x + 1) = -6 Reorder the terms: -3 + 8x + -1(1 + 7x) = -6 -3 + 8x + (1 * -1 + 7x * -1) = -6 -3 + 8x + (-1 + -7x) = -6 Reorder the terms: -3 + -1 + 8x + -7x = -6 Combine like terms: -3 + -1 = -4 -4 + 8x + -7x = -6 Combine like terms: 8x + -7x = 1x -4 + 1x = -6 Solving -4 + 1x = -6 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 + 1x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -6 + 4 1x = -6 + 4 Combine like terms: -6 + 4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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