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Simplifying (x + -1x2) + -1(2x2 + x + -1) = 5 + 2x + -3x2 Remove parenthesis around (x + -1x2) x + -1x2 + -1(2x2 + x + -1) = 5 + 2x + -3x2 Reorder the terms: x + -1x2 + -1(-1 + x + 2x2) = 5 + 2x + -3x2 x + -1x2 + (-1 * -1 + x * -1 + 2x2 * -1) = 5 + 2x + -3x2 x + -1x2 + (1 + -1x + -2x2) = 5 + 2x + -3x2 Reorder the terms: 1 + x + -1x + -1x2 + -2x2 = 5 + 2x + -3x2 Combine like terms: x + -1x = 0 1 + 0 + -1x2 + -2x2 = 5 + 2x + -3x2 1 + -1x2 + -2x2 = 5 + 2x + -3x2 Combine like terms: -1x2 + -2x2 = -3x2 1 + -3x2 = 5 + 2x + -3x2 Add '3x2' to each side of the equation. 1 + -3x2 + 3x2 = 5 + 2x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 1 + 0 = 5 + 2x + -3x2 + 3x2 1 = 5 + 2x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 1 = 5 + 2x + 0 1 = 5 + 2x Solving 1 = 5 + 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. 1 + -2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -2x = 5 + 0 1 + -2x = 5 Add '-1' to each side of the equation. 1 + -1 + -2x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 5 + -1 -2x = 5 + -1 Combine like terms: 5 + -1 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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