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Simplifying -51 + -8x = 10x + 21 Reorder the terms: -51 + -8x = 21 + 10x Solving -51 + -8x = 21 + 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 + -8x + -10x = 21 + 10x + -10x Combine like terms: -8x + -10x = -18x -51 + -18x = 21 + 10x + -10x Combine like terms: 10x + -10x = 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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