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Simplifying -51 + 6x = -2x + 53 Reorder the terms: -51 + 6x = 53 + -2x Solving -51 + 6x = 53 + -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 = 53 + -2x + 2x Combine like terms: 6x + 2x = 8x -51 + 8x = 53 + -2x + 2x Combine like terms: -2x + 2x = 0 -51 + 8x = 53 + 0 -51 + 8x = 53 Add '51' to each side of the equation. -51 + 51 + 8x = 53 + 51 Combine like terms: -51 + 51 = 0 0 + 8x = 53 + 51 8x = 53 + 51 Combine like terms: 53 + 51 = 104 8x = 104 Divide each side by '8'. x = 13 Simplifying x = 13
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