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Simplifying 4x + 6x + 2 + 9 = 7x + 5 + 2x Reorder the terms: 2 + 9 + 4x + 6x = 7x + 5 + 2x Combine like terms: 2 + 9 = 11 11 + 4x + 6x = 7x + 5 + 2x Combine like terms: 4x + 6x = 10x 11 + 10x = 7x + 5 + 2x Reorder the terms: 11 + 10x = 5 + 7x + 2x Combine like terms: 7x + 2x = 9x 11 + 10x = 5 + 9x Solving 11 + 10x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 11 + 10x + -9x = 5 + 9x + -9x Combine like terms: 10x + -9x = 1x 11 + 1x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + 1x = 5 + 0 11 + 1x = 5 Add '-11' to each side of the equation. 11 + -11 + 1x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 5 + -11 1x = 5 + -11 Combine like terms: 5 + -11 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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