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Simplifying (x2 + 8x + -3) + -1(7x + 4) = x2 + -14 Reorder the terms: (-3 + 8x + x2) + -1(7x + 4) = x2 + -14 Remove parenthesis around (-3 + 8x + x2) -3 + 8x + x2 + -1(7x + 4) = x2 + -14 Reorder the terms: -3 + 8x + x2 + -1(4 + 7x) = x2 + -14 -3 + 8x + x2 + (4 * -1 + 7x * -1) = x2 + -14 -3 + 8x + x2 + (-4 + -7x) = x2 + -14 Reorder the terms: -3 + -4 + 8x + -7x + x2 = x2 + -14 Combine like terms: -3 + -4 = -7 -7 + 8x + -7x + x2 = x2 + -14 Combine like terms: 8x + -7x = 1x -7 + 1x + x2 = x2 + -14 Reorder the terms: -7 + 1x + x2 = -14 + x2 Add '-1x2' to each side of the equation. -7 + 1x + x2 + -1x2 = -14 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + 1x + 0 = -14 + x2 + -1x2 -7 + 1x = -14 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + 1x = -14 + 0 -7 + 1x = -14 Solving -7 + 1x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = -14 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -14 + 7 1x = -14 + 7 Combine like terms: -14 + 7 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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