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Simplifying x(x + -7) = x2 + 112 Reorder the terms: x(-7 + x) = x2 + 112 (-7 * x + x * x) = x2 + 112 (-7x + x2) = x2 + 112 Reorder the terms: -7x + x2 = 112 + x2 Add '-1x2' to each side of the equation. -7x + x2 + -1x2 = 112 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x + 0 = 112 + x2 + -1x2 -7x = 112 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x = 112 + 0 -7x = 112 Solving -7x = 112 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-7'. x = -16 Simplifying x = -16
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