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Simplifying 6x + -1(x + 4) = 2[2x + -1(1 + -1x)] Reorder the terms: 6x + -1(4 + x) = 2[2x + -1(1 + -1x)] 6x + (4 * -1 + x * -1) = 2[2x + -1(1 + -1x)] 6x + (-4 + -1x) = 2[2x + -1(1 + -1x)] Reorder the terms: -4 + 6x + -1x = 2[2x + -1(1 + -1x)] Combine like terms: 6x + -1x = 5x -4 + 5x = 2[2x + -1(1 + -1x)] -4 + 5x = 2[2x + (1 * -1 + -1x * -1)] -4 + 5x = 2[2x + (-1 + 1x)] Reorder the terms: -4 + 5x = 2[-1 + 2x + 1x] Combine like terms: 2x + 1x = 3x -4 + 5x = 2[-1 + 3x] -4 + 5x = [-1 * 2 + 3x * 2] -4 + 5x = [-2 + 6x] Solving -4 + 5x = -2 + 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. -4 + 5x + -6x = -2 + 6x + -6x Combine like terms: 5x + -6x = -1x -4 + -1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -1x = -2 + 0 -4 + -1x = -2 Add '4' to each side of the equation. -4 + 4 + -1x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -2 + 4 -1x = -2 + 4 Combine like terms: -2 + 4 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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