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Simplifying 6x + -1(2x + 1) = -1(-5x + (-1(-2x + -1))) Reorder the terms: 6x + -1(1 + 2x) = -1(-5x + (-1(-2x + -1))) 6x + (1 * -1 + 2x * -1) = -1(-5x + (-1(-2x + -1))) 6x + (-1 + -2x) = -1(-5x + (-1(-2x + -1))) Reorder the terms: -1 + 6x + -2x = -1(-5x + (-1(-2x + -1))) Combine like terms: 6x + -2x = 4x -1 + 4x = -1(-5x + (-1(-2x + -1))) Reorder the terms: -1 + 4x = -1(-5x + (-1(-1 + -2x))) -1 + 4x = -1(-5x + ((-1 * -1 + -2x * -1))) -1 + 4x = -1(-5x + ((1 + 2x))) -1 + 4x = -1(-5x + (1 + 2x)) Remove parenthesis around (1 + 2x) -1 + 4x = -1(-5x + 1 + 2x) Reorder the terms: -1 + 4x = -1(1 + -5x + 2x) Combine like terms: -5x + 2x = -3x -1 + 4x = -1(1 + -3x) -1 + 4x = (1 * -1 + -3x * -1) -1 + 4x = (-1 + 3x) Add '1' to each side of the equation. -1 + 1 + 4x = -1 + 1 + 3x Combine like terms: -1 + 1 = 0 0 + 4x = -1 + 1 + 3x 4x = -1 + 1 + 3x Combine like terms: -1 + 1 = 0 4x = 0 + 3x 4x = 3x Solving 4x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 1x = 3x + -3x Combine like terms: 3x + -3x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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