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