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Simplifying 6 + -1(1 + -2x) + x(4 + -1x) = 1 + -1x(2 + x) 6 + (1 * -1 + -2x * -1) + x(4 + -1x) = 1 + -1x(2 + x) 6 + (-1 + 2x) + x(4 + -1x) = 1 + -1x(2 + x) 6 + -1 + 2x + (4 * x + -1x * x) = 1 + -1x(2 + x) 6 + -1 + 2x + (4x + -1x2) = 1 + -1x(2 + x) Combine like terms: 6 + -1 = 5 5 + 2x + 4x + -1x2 = 1 + -1x(2 + x) Combine like terms: 2x + 4x = 6x 5 + 6x + -1x2 = 1 + -1x(2 + x) 5 + 6x + -1x2 = 1 + (2 * -1x + x * -1x) 5 + 6x + -1x2 = 1 + (-2x + -1x2) Add 'x2' to each side of the equation. 5 + 6x + -1x2 + x2 = 1 + -2x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 5 + 6x + 0 = 1 + -2x + -1x2 + x2 5 + 6x = 1 + -2x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 5 + 6x = 1 + -2x + 0 5 + 6x = 1 + -2x Solving 5 + 6x = 1 + -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. 5 + 6x + 2x = 1 + -2x + 2x Combine like terms: 6x + 2x = 8x 5 + 8x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 8x = 1 + 0 5 + 8x = 1 Add '-5' to each side of the equation. 5 + -5 + 8x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 1 + -5 8x = 1 + -5 Combine like terms: 1 + -5 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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