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Simplifying x(x + -1) = x(x) + -7 Reorder the terms: x(-1 + x) = x(x) + -7 (-1 * x + x * x) = x(x) + -7 (-1x + x2) = x(x) + -7 Multiply x * x -1x + x2 = x2 + -7 Reorder the terms: -1x + x2 = -7 + x2 Add '-1x2' to each side of the equation. -1x + x2 + -1x2 = -7 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1x + 0 = -7 + x2 + -1x2 -1x = -7 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1x = -7 + 0 -1x = -7 Solving -1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = 7 Simplifying x = 7
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