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Simplifying 6x + 4x + -51 = 34 + -7x Reorder the terms: -51 + 6x + 4x = 34 + -7x Combine like terms: 6x + 4x = 10x -51 + 10x = 34 + -7x Solving -51 + 10x = 34 + -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 + 10x + 7x = 34 + -7x + 7x Combine like terms: 10x + 7x = 17x -51 + 17x = 34 + -7x + 7x Combine like terms: -7x + 7x = 0 -51 + 17x = 34 + 0 -51 + 17x = 34 Add '51' to each side of the equation. -51 + 51 + 17x = 34 + 51 Combine like terms: -51 + 51 = 0 0 + 17x = 34 + 51 17x = 34 + 51 Combine like terms: 34 + 51 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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