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Simplifying x2 + -2x + -1 = 3x + 4x + x2 Reorder the terms: -1 + -2x + x2 = 3x + 4x + x2 Combine like terms: 3x + 4x = 7x -1 + -2x + x2 = 7x + x2 Add '-1x2' to each side of the equation. -1 + -2x + x2 + -1x2 = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1 + -2x + 0 = 7x + x2 + -1x2 -1 + -2x = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1 + -2x = 7x + 0 -1 + -2x = 7x Solving -1 + -2x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + -2x + -7x = 7x + -7x Combine like terms: -2x + -7x = -9x -1 + -9x = 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -9x = 0 Add '1' to each side of the equation. -1 + 1 + -9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 0 + 1 -9x = 0 + 1 Combine like terms: 0 + 1 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111
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