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Simplifying 3x + 51 = 2x + 34 Reorder the terms: 51 + 3x = 2x + 34 Reorder the terms: 51 + 3x = 34 + 2x Solving 51 + 3x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 51 + 3x + -2x = 34 + 2x + -2x Combine like terms: 3x + -2x = 1x 51 + 1x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 51 + 1x = 34 + 0 51 + 1x = 34 Add '-51' to each side of the equation. 51 + -51 + 1x = 34 + -51 Combine like terms: 51 + -51 = 0 0 + 1x = 34 + -51 1x = 34 + -51 Combine like terms: 34 + -51 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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