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Simplifying 10x + 59 = 5x + 34 Reorder the terms: 59 + 10x = 5x + 34 Reorder the terms: 59 + 10x = 34 + 5x Solving 59 + 10x = 34 + 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. 59 + 10x + -5x = 34 + 5x + -5x Combine like terms: 10x + -5x = 5x 59 + 5x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 59 + 5x = 34 + 0 59 + 5x = 34 Add '-59' to each side of the equation. 59 + -59 + 5x = 34 + -59 Combine like terms: 59 + -59 = 0 0 + 5x = 34 + -59 5x = 34 + -59 Combine like terms: 34 + -59 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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