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Simplifying 5x + -6 + 2x = 4x + -1x + 2 Reorder the terms: -6 + 5x + 2x = 4x + -1x + 2 Combine like terms: 5x + 2x = 7x -6 + 7x = 4x + -1x + 2 Reorder the terms: -6 + 7x = 2 + 4x + -1x Combine like terms: 4x + -1x = 3x -6 + 7x = 2 + 3x Solving -6 + 7x = 2 + 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. -6 + 7x + -3x = 2 + 3x + -3x Combine like terms: 7x + -3x = 4x -6 + 4x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 4x = 2 + 0 -6 + 4x = 2 Add '6' to each side of the equation. -6 + 6 + 4x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 2 + 6 4x = 2 + 6 Combine like terms: 2 + 6 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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