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Simplifying 6x + -51 = 13 + -2x Reorder the terms: -51 + 6x = 13 + -2x Solving -51 + 6x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -51 + 6x + 2x = 13 + -2x + 2x Combine like terms: 6x + 2x = 8x -51 + 8x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -51 + 8x = 13 + 0 -51 + 8x = 13 Add '51' to each side of the equation. -51 + 51 + 8x = 13 + 51 Combine like terms: -51 + 51 = 0 0 + 8x = 13 + 51 8x = 13 + 51 Combine like terms: 13 + 51 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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