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Simplifying 2x + 17 = 19x + -51 Reorder the terms: 17 + 2x = 19x + -51 Reorder the terms: 17 + 2x = -51 + 19x Solving 17 + 2x = -51 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 17 + 2x + -19x = -51 + 19x + -19x Combine like terms: 2x + -19x = -17x 17 + -17x = -51 + 19x + -19x Combine like terms: 19x + -19x = 0 17 + -17x = -51 + 0 17 + -17x = -51 Add '-17' to each side of the equation. 17 + -17 + -17x = -51 + -17 Combine like terms: 17 + -17 = 0 0 + -17x = -51 + -17 -17x = -51 + -17 Combine like terms: -51 + -17 = -68 -17x = -68 Divide each side by '-17'. x = 4 Simplifying x = 4
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