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Simplifying 7x + -4x + -2 = 6x + -3 + 2x + 1 Reorder the terms: -2 + 7x + -4x = 6x + -3 + 2x + 1 Combine like terms: 7x + -4x = 3x -2 + 3x = 6x + -3 + 2x + 1 Reorder the terms: -2 + 3x = -3 + 1 + 6x + 2x Combine like terms: -3 + 1 = -2 -2 + 3x = -2 + 6x + 2x Combine like terms: 6x + 2x = 8x -2 + 3x = -2 + 8x Add '2' to each side of the equation. -2 + 2 + 3x = -2 + 2 + 8x Combine like terms: -2 + 2 = 0 0 + 3x = -2 + 2 + 8x 3x = -2 + 2 + 8x Combine like terms: -2 + 2 = 0 3x = 0 + 8x 3x = 8x Solving 3x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3x + -8x = 8x + -8x Combine like terms: 3x + -8x = -5x -5x = 8x + -8x Combine like terms: 8x + -8x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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