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Simplifying 3x + 34 = 5x + 10 Reorder the terms: 34 + 3x = 5x + 10 Reorder the terms: 34 + 3x = 10 + 5x Solving 34 + 3x = 10 + 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 + 3x + -5x = 10 + 5x + -5x Combine like terms: 3x + -5x = -2x 34 + -2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 34 + -2x = 10 + 0 34 + -2x = 10 Add '-34' to each side of the equation. 34 + -34 + -2x = 10 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 10 + -34 -2x = 10 + -34 Combine like terms: 10 + -34 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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