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Simplifying 2 + -1x(2 + x) = 4x + 11 + x(3 + -1x) 2 + (2 * -1x + x * -1x) = 4x + 11 + x(3 + -1x) 2 + (-2x + -1x2) = 4x + 11 + x(3 + -1x) 2 + -2x + -1x2 = 4x + 11 + (3 * x + -1x * x) 2 + -2x + -1x2 = 4x + 11 + (3x + -1x2) Reorder the terms: 2 + -2x + -1x2 = 11 + 4x + 3x + -1x2 Combine like terms: 4x + 3x = 7x 2 + -2x + -1x2 = 11 + 7x + -1x2 Add 'x2' to each side of the equation. 2 + -2x + -1x2 + x2 = 11 + 7x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + -2x + 0 = 11 + 7x + -1x2 + x2 2 + -2x = 11 + 7x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + -2x = 11 + 7x + 0 2 + -2x = 11 + 7x Solving 2 + -2x = 11 + 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. 2 + -2x + -7x = 11 + 7x + -7x Combine like terms: -2x + -7x = -9x 2 + -9x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -9x = 11 + 0 2 + -9x = 11 Add '-2' to each side of the equation. 2 + -2 + -9x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 11 + -2 -9x = 11 + -2 Combine like terms: 11 + -2 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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