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