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Simplifying 51 + -2x = 12 + -10x Solving 51 + -2x = 12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 51 + -2x + 10x = 12 + -10x + 10x Combine like terms: -2x + 10x = 8x 51 + 8x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 51 + 8x = 12 + 0 51 + 8x = 12 Add '-51' to each side of the equation. 51 + -51 + 8x = 12 + -51 Combine like terms: 51 + -51 = 0 0 + 8x = 12 + -51 8x = 12 + -51 Combine like terms: 12 + -51 = -39 8x = -39 Divide each side by '8'. x = -4.875 Simplifying x = -4.875
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