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Simplifying -51 + 6x = 105 + -7x Solving -51 + 6x = 105 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -51 + 6x + 7x = 105 + -7x + 7x Combine like terms: 6x + 7x = 13x -51 + 13x = 105 + -7x + 7x Combine like terms: -7x + 7x = 0 -51 + 13x = 105 + 0 -51 + 13x = 105 Add '51' to each side of the equation. -51 + 51 + 13x = 105 + 51 Combine like terms: -51 + 51 = 0 0 + 13x = 105 + 51 13x = 105 + 51 Combine like terms: 105 + 51 = 156 13x = 156 Divide each side by '13'. x = 12 Simplifying x = 12
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