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Simplifying (x2 + -7x) + -1(x2 + 3x + 9) = 0 Reorder the terms: (-7x + x2) + -1(x2 + 3x + 9) = 0 Remove parenthesis around (-7x + x2) -7x + x2 + -1(x2 + 3x + 9) = 0 Reorder the terms: -7x + x2 + -1(9 + 3x + x2) = 0 -7x + x2 + (9 * -1 + 3x * -1 + x2 * -1) = 0 -7x + x2 + (-9 + -3x + -1x2) = 0 Reorder the terms: -9 + -7x + -3x + x2 + -1x2 = 0 Combine like terms: -7x + -3x = -10x -9 + -10x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -9 + -10x + 0 = 0 -9 + -10x = 0 Solving -9 + -10x = 0 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 + -10x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = 0 + 9 -10x = 0 + 9 Combine like terms: 0 + 9 = 9 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9
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