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Simplifying 2x + 4 + -6x + 2 = 4x + 7 + -9x Reorder the terms: 4 + 2 + 2x + -6x = 4x + 7 + -9x Combine like terms: 4 + 2 = 6 6 + 2x + -6x = 4x + 7 + -9x Combine like terms: 2x + -6x = -4x 6 + -4x = 4x + 7 + -9x Reorder the terms: 6 + -4x = 7 + 4x + -9x Combine like terms: 4x + -9x = -5x 6 + -4x = 7 + -5x Solving 6 + -4x = 7 + -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. 6 + -4x + 5x = 7 + -5x + 5x Combine like terms: -4x + 5x = 1x 6 + 1x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 1x = 7 + 0 6 + 1x = 7 Add '-6' to each side of the equation. 6 + -6 + 1x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 7 + -6 1x = 7 + -6 Combine like terms: 7 + -6 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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