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Simplifying 6x + 2 + 4x + 9 = 2x + 3 + 3x + -2 Reorder the terms: 2 + 9 + 6x + 4x = 2x + 3 + 3x + -2 Combine like terms: 2 + 9 = 11 11 + 6x + 4x = 2x + 3 + 3x + -2 Combine like terms: 6x + 4x = 10x 11 + 10x = 2x + 3 + 3x + -2 Reorder the terms: 11 + 10x = 3 + -2 + 2x + 3x Combine like terms: 3 + -2 = 1 11 + 10x = 1 + 2x + 3x Combine like terms: 2x + 3x = 5x 11 + 10x = 1 + 5x Solving 11 + 10x = 1 + 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. 11 + 10x + -5x = 1 + 5x + -5x Combine like terms: 10x + -5x = 5x 11 + 5x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 5x = 1 + 0 11 + 5x = 1 Add '-11' to each side of the equation. 11 + -11 + 5x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 1 + -11 5x = 1 + -11 Combine like terms: 1 + -11 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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