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Simplifying (x2 + 8x + -4) + -1(7x + 1) = x2 + -14 Reorder the terms: (-4 + 8x + x2) + -1(7x + 1) = x2 + -14 Remove parenthesis around (-4 + 8x + x2) -4 + 8x + x2 + -1(7x + 1) = x2 + -14 Reorder the terms: -4 + 8x + x2 + -1(1 + 7x) = x2 + -14 -4 + 8x + x2 + (1 * -1 + 7x * -1) = x2 + -14 -4 + 8x + x2 + (-1 + -7x) = x2 + -14 Reorder the terms: -4 + -1 + 8x + -7x + x2 = x2 + -14 Combine like terms: -4 + -1 = -5 -5 + 8x + -7x + x2 = x2 + -14 Combine like terms: 8x + -7x = 1x -5 + 1x + x2 = x2 + -14 Reorder the terms: -5 + 1x + x2 = -14 + x2 Add '-1x2' to each side of the equation. -5 + 1x + x2 + -1x2 = -14 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 1x + 0 = -14 + x2 + -1x2 -5 + 1x = -14 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 1x = -14 + 0 -5 + 1x = -14 Solving -5 + 1x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -14 + 5 1x = -14 + 5 Combine like terms: -14 + 5 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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