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Simplifying -51 + 10x = 6x + 57 Reorder the terms: -51 + 10x = 57 + 6x Solving -51 + 10x = 57 + 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 + 10x + -6x = 57 + 6x + -6x Combine like terms: 10x + -6x = 4x -51 + 4x = 57 + 6x + -6x Combine like terms: 6x + -6x = 0 -51 + 4x = 57 + 0 -51 + 4x = 57 Add '51' to each side of the equation. -51 + 51 + 4x = 57 + 51 Combine like terms: -51 + 51 = 0 0 + 4x = 57 + 51 4x = 57 + 51 Combine like terms: 57 + 51 = 108 4x = 108 Divide each side by '4'. x = 27 Simplifying x = 27
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