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Simplifying 2x + -4 + -6x + 2 = 4x + 7 + -9 Reorder the terms: -4 + 2 + 2x + -6x = 4x + 7 + -9 Combine like terms: -4 + 2 = -2 -2 + 2x + -6x = 4x + 7 + -9 Combine like terms: 2x + -6x = -4x -2 + -4x = 4x + 7 + -9 Reorder the terms: -2 + -4x = 7 + -9 + 4x Combine like terms: 7 + -9 = -2 -2 + -4x = -2 + 4x Add '2' to each side of the equation. -2 + 2 + -4x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 0 + -4x = -2 + 2 + 4x -4x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 -4x = 0 + 4x -4x = 4x Solving -4x = 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. -4x + -4x = 4x + -4x Combine like terms: -4x + -4x = -8x -8x = 4x + -4x Combine like terms: 4x + -4x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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