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Simplifying E = 7(3 + -1x) + (x + 4)(x + -5) E = (3 * 7 + -1x * 7) + (x + 4)(x + -5) E = (21 + -7x) + (x + 4)(x + -5) Reorder the terms: E = 21 + -7x + (4 + x)(x + -5) Reorder the terms: E = 21 + -7x + (4 + x)(-5 + x) Multiply (4 + x) * (-5 + x) E = 21 + -7x + (4(-5 + x) + x(-5 + x)) E = 21 + -7x + ((-5 * 4 + x * 4) + x(-5 + x)) E = 21 + -7x + ((-20 + 4x) + x(-5 + x)) E = 21 + -7x + (-20 + 4x + (-5 * x + x * x)) E = 21 + -7x + (-20 + 4x + (-5x + x2)) Combine like terms: 4x + -5x = -1x E = 21 + -7x + (-20 + -1x + x2) Reorder the terms: E = 21 + -20 + -7x + -1x + x2 Combine like terms: 21 + -20 = 1 E = 1 + -7x + -1x + x2 Combine like terms: -7x + -1x = -8x E = 1 + -8x + x2 Solving E = 1 + -8x + x2 Solving for variable 'E'. Move all terms containing E to the left, all other terms to the right. Simplifying E = 1 + -8x + x2
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