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Simplifying x(x + -2) + -1(2 + -2x) = x2 + 9 + -2(x + 3) Reorder the terms: x(-2 + x) + -1(2 + -2x) = x2 + 9 + -2(x + 3) (-2 * x + x * x) + -1(2 + -2x) = x2 + 9 + -2(x + 3) (-2x + x2) + -1(2 + -2x) = x2 + 9 + -2(x + 3) -2x + x2 + (2 * -1 + -2x * -1) = x2 + 9 + -2(x + 3) -2x + x2 + (-2 + 2x) = x2 + 9 + -2(x + 3) Reorder the terms: -2 + -2x + 2x + x2 = x2 + 9 + -2(x + 3) Combine like terms: -2x + 2x = 0 -2 + 0 + x2 = x2 + 9 + -2(x + 3) -2 + x2 = x2 + 9 + -2(x + 3) Reorder the terms: -2 + x2 = x2 + 9 + -2(3 + x) -2 + x2 = x2 + 9 + (3 * -2 + x * -2) -2 + x2 = x2 + 9 + (-6 + -2x) Reorder the terms: -2 + x2 = 9 + -6 + -2x + x2 Combine like terms: 9 + -6 = 3 -2 + x2 = 3 + -2x + x2 Add '-1x2' to each side of the equation. -2 + x2 + -1x2 = 3 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 0 = 3 + -2x + x2 + -1x2 -2 = 3 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 = 3 + -2x + 0 -2 = 3 + -2x Solving -2 = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 2x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 2x = 3 + 0 -2 + 2x = 3 Add '2' to each side of the equation. -2 + 2 + 2x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 3 + 2 2x = 3 + 2 Combine like terms: 3 + 2 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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