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Simplifying 5x + 2 + 6x + 9 = 10x + 5 Reorder the terms: 2 + 9 + 5x + 6x = 10x + 5 Combine like terms: 2 + 9 = 11 11 + 5x + 6x = 10x + 5 Combine like terms: 5x + 6x = 11x 11 + 11x = 10x + 5 Reorder the terms: 11 + 11x = 5 + 10x Solving 11 + 11x = 5 + 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 = 5 + 10x + -10x Combine like terms: 11x + -10x = 1x 11 + 1x = 5 + 10x + -10x Combine like terms: 10x + -10x = 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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