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Simplifying 8x + 21 = 10x + -1 Reorder the terms: 21 + 8x = 10x + -1 Reorder the terms: 21 + 8x = -1 + 10x Solving 21 + 8x = -1 + 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. 21 + 8x + -10x = -1 + 10x + -10x Combine like terms: 8x + -10x = -2x 21 + -2x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -2x = -1 + 0 21 + -2x = -1 Add '-21' to each side of the equation. 21 + -21 + -2x = -1 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -1 + -21 -2x = -1 + -21 Combine like terms: -1 + -21 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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