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Simplifying -2x + -6 = 2 + -4x + -1[x + -1] Reorder the terms: -6 + -2x = 2 + -4x + -1[x + -1] Reorder the terms: -6 + -2x = 2 + -4x + -1[-1 + x] -6 + -2x = 2 + -4x + [-1 * -1 + x * -1] -6 + -2x = 2 + -4x + [1 + -1x] Reorder the terms: -6 + -2x = 2 + 1 + -4x + -1x Combine like terms: 2 + 1 = 3 -6 + -2x = 3 + -4x + -1x Combine like terms: -4x + -1x = -5x -6 + -2x = 3 + -5x Solving -6 + -2x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -2x + 5x = 3 + -5x + 5x Combine like terms: -2x + 5x = 3x -6 + 3x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 3x = 3 + 0 -6 + 3x = 3 Add '6' to each side of the equation. -6 + 6 + 3x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 3 + 6 3x = 3 + 6 Combine like terms: 3 + 6 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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