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