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Simplifying 7 + x(x + 5) = (x * x) + -1(7 + -5x) Reorder the terms: 7 + x(5 + x) = (x * x) + -1(7 + -5x) 7 + (5 * x + x * x) = (x * x) + -1(7 + -5x) 7 + (5x + x2) = (x * x) + -1(7 + -5x) Multiply x * x 7 + 5x + x2 = (x2) + -1(7 + -5x) 7 + 5x + x2 = x2 + -1(7 + -5x) 7 + 5x + x2 = x2 + (7 * -1 + -5x * -1) 7 + 5x + x2 = x2 + (-7 + 5x) Reorder the terms: 7 + 5x + x2 = -7 + 5x + x2 Add '-5x' to each side of the equation. 7 + 5x + -5x + x2 = -7 + 5x + -5x + x2 Combine like terms: 5x + -5x = 0 7 + 0 + x2 = -7 + 5x + -5x + x2 7 + x2 = -7 + 5x + -5x + x2 Combine like terms: 5x + -5x = 0 7 + x2 = -7 + 0 + x2 7 + x2 = -7 + x2 Add '-1x2' to each side of the equation. 7 + x2 + -1x2 = -7 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7 + 0 = -7 + x2 + -1x2 7 = -7 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7 = -7 + 0 7 = -7 Solving 7 = -7 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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