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Simplifying 10x + 8 = 5x + 43 Reorder the terms: 8 + 10x = 5x + 43 Reorder the terms: 8 + 10x = 43 + 5x Solving 8 + 10x = 43 + 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. 8 + 10x + -5x = 43 + 5x + -5x Combine like terms: 10x + -5x = 5x 8 + 5x = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 5x = 43 + 0 8 + 5x = 43 Add '-8' to each side of the equation. 8 + -8 + 5x = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 43 + -8 5x = 43 + -8 Combine like terms: 43 + -8 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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