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Simplifying -7(2 + x) + -1(x + -1) = 6 (2 * -7 + x * -7) + -1(x + -1) = 6 (-14 + -7x) + -1(x + -1) = 6 Reorder the terms: -14 + -7x + -1(-1 + x) = 6 -14 + -7x + (-1 * -1 + x * -1) = 6 -14 + -7x + (1 + -1x) = 6 Reorder the terms: -14 + 1 + -7x + -1x = 6 Combine like terms: -14 + 1 = -13 -13 + -7x + -1x = 6 Combine like terms: -7x + -1x = -8x -13 + -8x = 6 Solving -13 + -8x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -8x = 6 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = 6 + 13 -8x = 6 + 13 Combine like terms: 6 + 13 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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