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Simplifying 6x + 5x + -68 = 51 + -6x Reorder the terms: -68 + 6x + 5x = 51 + -6x Combine like terms: 6x + 5x = 11x -68 + 11x = 51 + -6x Solving -68 + 11x = 51 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -68 + 11x + 6x = 51 + -6x + 6x Combine like terms: 11x + 6x = 17x -68 + 17x = 51 + -6x + 6x Combine like terms: -6x + 6x = 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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