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Simplifying -12x + 51 = 17x + -7 Reorder the terms: 51 + -12x = 17x + -7 Reorder the terms: 51 + -12x = -7 + 17x Solving 51 + -12x = -7 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 51 + -12x + -17x = -7 + 17x + -17x Combine like terms: -12x + -17x = -29x 51 + -29x = -7 + 17x + -17x Combine like terms: 17x + -17x = 0 51 + -29x = -7 + 0 51 + -29x = -7 Add '-51' to each side of the equation. 51 + -51 + -29x = -7 + -51 Combine like terms: 51 + -51 = 0 0 + -29x = -7 + -51 -29x = -7 + -51 Combine like terms: -7 + -51 = -58 -29x = -58 Divide each side by '-29'. x = 2 Simplifying x = 2
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