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Simplifying 5x + 6x + -51 = 85 + -6x Reorder the terms: -51 + 5x + 6x = 85 + -6x Combine like terms: 5x + 6x = 11x -51 + 11x = 85 + -6x Solving -51 + 11x = 85 + -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. -51 + 11x + 6x = 85 + -6x + 6x Combine like terms: 11x + 6x = 17x -51 + 17x = 85 + -6x + 6x Combine like terms: -6x + 6x = 0 -51 + 17x = 85 + 0 -51 + 17x = 85 Add '51' to each side of the equation. -51 + 51 + 17x = 85 + 51 Combine like terms: -51 + 51 = 0 0 + 17x = 85 + 51 17x = 85 + 51 Combine like terms: 85 + 51 = 136 17x = 136 Divide each side by '17'. x = 8 Simplifying x = 8
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