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