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Simplifying 2x + -2 + 5x = 4 + 4x + 2 Reorder the terms: -2 + 2x + 5x = 4 + 4x + 2 Combine like terms: 2x + 5x = 7x -2 + 7x = 4 + 4x + 2 Reorder the terms: -2 + 7x = 4 + 2 + 4x Combine like terms: 4 + 2 = 6 -2 + 7x = 6 + 4x Solving -2 + 7x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 7x + -4x = 6 + 4x + -4x Combine like terms: 7x + -4x = 3x -2 + 3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 3x = 6 + 0 -2 + 3x = 6 Add '2' to each side of the equation. -2 + 2 + 3x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 6 + 2 3x = 6 + 2 Combine like terms: 6 + 2 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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