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Simplifying J = (x + 7)(5x + -1) + -1(x + 7) * x Reorder the terms: J = (7 + x)(5x + -1) + -1(x + 7) * x Reorder the terms: J = (7 + x)(-1 + 5x) + -1(x + 7) * x Multiply (7 + x) * (-1 + 5x) J = (7(-1 + 5x) + x(-1 + 5x)) + -1(x + 7) * x J = ((-1 * 7 + 5x * 7) + x(-1 + 5x)) + -1(x + 7) * x J = ((-7 + 35x) + x(-1 + 5x)) + -1(x + 7) * x J = (-7 + 35x + (-1 * x + 5x * x)) + -1(x + 7) * x J = (-7 + 35x + (-1x + 5x2)) + -1(x + 7) * x Combine like terms: 35x + -1x = 34x J = (-7 + 34x + 5x2) + -1(x + 7) * x Reorder the terms: J = -7 + 34x + 5x2 + -1(7 + x) * x Reorder the terms for easier multiplication: J = -7 + 34x + 5x2 + -1x(7 + x) J = -7 + 34x + 5x2 + (7 * -1x + x * -1x) J = -7 + 34x + 5x2 + (-7x + -1x2) Reorder the terms: J = -7 + 34x + -7x + 5x2 + -1x2 Combine like terms: 34x + -7x = 27x J = -7 + 27x + 5x2 + -1x2 Combine like terms: 5x2 + -1x2 = 4x2 J = -7 + 27x + 4x2 Solving J = -7 + 27x + 4x2 Solving for variable 'J'. Move all terms containing J to the left, all other terms to the right. Simplifying J = -7 + 27x + 4x2
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