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Simplifying 6x + 2 + 5x + 9 = 10x + 14 Reorder the terms: 2 + 9 + 6x + 5x = 10x + 14 Combine like terms: 2 + 9 = 11 11 + 6x + 5x = 10x + 14 Combine like terms: 6x + 5x = 11x 11 + 11x = 10x + 14 Reorder the terms: 11 + 11x = 14 + 10x Solving 11 + 11x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11 + 11x + -10x = 14 + 10x + -10x Combine like terms: 11x + -10x = 1x 11 + 1x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + 1x = 14 + 0 11 + 1x = 14 Add '-11' to each side of the equation. 11 + -11 + 1x = 14 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 14 + -11 1x = 14 + -11 Combine like terms: 14 + -11 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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