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Simplifying 10x + -34 = 5x + 1 Reorder the terms: -34 + 10x = 5x + 1 Reorder the terms: -34 + 10x = 1 + 5x Solving -34 + 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. -34 + 10x + -5x = 1 + 5x + -5x Combine like terms: 10x + -5x = 5x -34 + 5x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 5x = 1 + 0 -34 + 5x = 1 Add '34' to each side of the equation. -34 + 34 + 5x = 1 + 34 Combine like terms: -34 + 34 = 0 0 + 5x = 1 + 34 5x = 1 + 34 Combine like terms: 1 + 34 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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