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Simplifying 5x + 2 + 6x + 8 = 10x + 5 Reorder the terms: 2 + 8 + 5x + 6x = 10x + 5 Combine like terms: 2 + 8 = 10 10 + 5x + 6x = 10x + 5 Combine like terms: 5x + 6x = 11x 10 + 11x = 10x + 5 Reorder the terms: 10 + 11x = 5 + 10x Solving 10 + 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. 10 + 11x + -10x = 5 + 10x + -10x Combine like terms: 11x + -10x = 1x 10 + 1x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + 1x = 5 + 0 10 + 1x = 5 Add '-10' to each side of the equation. 10 + -10 + 1x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 5 + -10 1x = 5 + -10 Combine like terms: 5 + -10 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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