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Simplifying 10x + 21 = -27 + 8x Reorder the terms: 21 + 10x = -27 + 8x Solving 21 + 10x = -27 + 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. 21 + 10x + -8x = -27 + 8x + -8x Combine like terms: 10x + -8x = 2x 21 + 2x = -27 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + 2x = -27 + 0 21 + 2x = -27 Add '-21' to each side of the equation. 21 + -21 + 2x = -27 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = -27 + -21 2x = -27 + -21 Combine like terms: -27 + -21 = -48 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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