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Simplifying 4x + -1(2x + -1) = x + 5x + -6 Reorder the terms: 4x + -1(-1 + 2x) = x + 5x + -6 4x + (-1 * -1 + 2x * -1) = x + 5x + -6 4x + (1 + -2x) = x + 5x + -6 Reorder the terms: 1 + 4x + -2x = x + 5x + -6 Combine like terms: 4x + -2x = 2x 1 + 2x = x + 5x + -6 Reorder the terms: 1 + 2x = -6 + x + 5x Combine like terms: x + 5x = 6x 1 + 2x = -6 + 6x Solving 1 + 2x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 2x + -6x = -6 + 6x + -6x Combine like terms: 2x + -6x = -4x 1 + -4x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -4x = -6 + 0 1 + -4x = -6 Add '-1' to each side of the equation. 1 + -1 + -4x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -6 + -1 -4x = -6 + -1 Combine like terms: -6 + -1 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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