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Simplifying (x + -4)(7 + -1x) = 11x + 16 + -1x2 Reorder the terms: (-4 + x)(7 + -1x) = 11x + 16 + -1x2 Multiply (-4 + x) * (7 + -1x) (-4(7 + -1x) + x(7 + -1x)) = 11x + 16 + -1x2 ((7 * -4 + -1x * -4) + x(7 + -1x)) = 11x + 16 + -1x2 ((-28 + 4x) + x(7 + -1x)) = 11x + 16 + -1x2 (-28 + 4x + (7 * x + -1x * x)) = 11x + 16 + -1x2 (-28 + 4x + (7x + -1x2)) = 11x + 16 + -1x2 Combine like terms: 4x + 7x = 11x (-28 + 11x + -1x2) = 11x + 16 + -1x2 Reorder the terms: -28 + 11x + -1x2 = 16 + 11x + -1x2 Add '-11x' to each side of the equation. -28 + 11x + -11x + -1x2 = 16 + 11x + -11x + -1x2 Combine like terms: 11x + -11x = 0 -28 + 0 + -1x2 = 16 + 11x + -11x + -1x2 -28 + -1x2 = 16 + 11x + -11x + -1x2 Combine like terms: 11x + -11x = 0 -28 + -1x2 = 16 + 0 + -1x2 -28 + -1x2 = 16 + -1x2 Add 'x2' to each side of the equation. -28 + -1x2 + x2 = 16 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -28 + 0 = 16 + -1x2 + x2 -28 = 16 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -28 = 16 + 0 -28 = 16 Solving -28 = 16 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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