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Simplifying (x2 + -2) + -1(x2 + x) = 10 + -1(3 + -1x) Reorder the terms: (-2 + x2) + -1(x2 + x) = 10 + -1(3 + -1x) Remove parenthesis around (-2 + x2) -2 + x2 + -1(x2 + x) = 10 + -1(3 + -1x) Reorder the terms: -2 + x2 + -1(x + x2) = 10 + -1(3 + -1x) -2 + x2 + (x * -1 + x2 * -1) = 10 + -1(3 + -1x) -2 + x2 + (-1x + -1x2) = 10 + -1(3 + -1x) Reorder the terms: -2 + -1x + x2 + -1x2 = 10 + -1(3 + -1x) Combine like terms: x2 + -1x2 = 0 -2 + -1x + 0 = 10 + -1(3 + -1x) -2 + -1x = 10 + -1(3 + -1x) -2 + -1x = 10 + (3 * -1 + -1x * -1) -2 + -1x = 10 + (-3 + 1x) Combine like terms: 10 + -3 = 7 -2 + -1x = 7 + 1x Solving -2 + -1x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -1x + -1x = 7 + 1x + -1x Combine like terms: -1x + -1x = -2x -2 + -2x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + -2x = 7 + 0 -2 + -2x = 7 Add '2' to each side of the equation. -2 + 2 + -2x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 7 + 2 -2x = 7 + 2 Combine like terms: 7 + 2 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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