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Simplifying -51 + -10x = 8x + 21 Reorder the terms: -51 + -10x = 21 + 8x Solving -51 + -10x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -51 + -10x + -8x = 21 + 8x + -8x Combine like terms: -10x + -8x = -18x -51 + -18x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -51 + -18x = 21 + 0 -51 + -18x = 21 Add '51' to each side of the equation. -51 + 51 + -18x = 21 + 51 Combine like terms: -51 + 51 = 0 0 + -18x = 21 + 51 -18x = 21 + 51 Combine like terms: 21 + 51 = 72 -18x = 72 Divide each side by '-18'. x = -4 Simplifying x = -4
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