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Simplifying (x2 + 8x + -4) + -1(7x + 5) = x2 + -8 Reorder the terms: (-4 + 8x + x2) + -1(7x + 5) = x2 + -8 Remove parenthesis around (-4 + 8x + x2) -4 + 8x + x2 + -1(7x + 5) = x2 + -8 Reorder the terms: -4 + 8x + x2 + -1(5 + 7x) = x2 + -8 -4 + 8x + x2 + (5 * -1 + 7x * -1) = x2 + -8 -4 + 8x + x2 + (-5 + -7x) = x2 + -8 Reorder the terms: -4 + -5 + 8x + -7x + x2 = x2 + -8 Combine like terms: -4 + -5 = -9 -9 + 8x + -7x + x2 = x2 + -8 Combine like terms: 8x + -7x = 1x -9 + 1x + x2 = x2 + -8 Reorder the terms: -9 + 1x + x2 = -8 + x2 Add '-1x2' to each side of the equation. -9 + 1x + x2 + -1x2 = -8 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + 1x + 0 = -8 + x2 + -1x2 -9 + 1x = -8 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + 1x = -8 + 0 -9 + 1x = -8 Solving -9 + 1x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1x = -8 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -8 + 9 1x = -8 + 9 Combine like terms: -8 + 9 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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