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Simplifying 10x + -51 = 7x Reorder the terms: -51 + 10x = 7x Solving -51 + 10x = 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 = 7x + -7x Combine like terms: 10x + -7x = 3x -51 + 3x = 7x + -7x Combine like terms: 7x + -7x = 0 -51 + 3x = 0 Add '51' to each side of the equation. -51 + 51 + 3x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 3x = 0 + 51 3x = 0 + 51 Combine like terms: 0 + 51 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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