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Simplifying 3x + -4 + 2x = 2x + 6 + -2 Reorder the terms: -4 + 3x + 2x = 2x + 6 + -2 Combine like terms: 3x + 2x = 5x -4 + 5x = 2x + 6 + -2 Reorder the terms: -4 + 5x = 6 + -2 + 2x Combine like terms: 6 + -2 = 4 -4 + 5x = 4 + 2x Solving -4 + 5x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 5x + -2x = 4 + 2x + -2x Combine like terms: 5x + -2x = 3x -4 + 3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 3x = 4 + 0 -4 + 3x = 4 Add '4' to each side of the equation. -4 + 4 + 3x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 4 + 4 3x = 4 + 4 Combine like terms: 4 + 4 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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