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