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Simplifying 5x + 7x + -68 = 51 + -5x Reorder the terms: -68 + 5x + 7x = 51 + -5x Combine like terms: 5x + 7x = 12x -68 + 12x = 51 + -5x Solving -68 + 12x = 51 + -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. -68 + 12x + 5x = 51 + -5x + 5x Combine like terms: 12x + 5x = 17x -68 + 17x = 51 + -5x + 5x Combine like terms: -5x + 5x = 0 -68 + 17x = 51 + 0 -68 + 17x = 51 Add '68' to each side of the equation. -68 + 68 + 17x = 51 + 68 Combine like terms: -68 + 68 = 0 0 + 17x = 51 + 68 17x = 51 + 68 Combine like terms: 51 + 68 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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