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Simplifying 8 + -2x + -11 = x + 21 + 9x Reorder the terms: 8 + -11 + -2x = x + 21 + 9x Combine like terms: 8 + -11 = -3 -3 + -2x = x + 21 + 9x Reorder the terms: -3 + -2x = 21 + x + 9x Combine like terms: x + 9x = 10x -3 + -2x = 21 + 10x Solving -3 + -2x = 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. -3 + -2x + -10x = 21 + 10x + -10x Combine like terms: -2x + -10x = -12x -3 + -12x = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -12x = 21 + 0 -3 + -12x = 21 Add '3' to each side of the equation. -3 + 3 + -12x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = 21 + 3 -12x = 21 + 3 Combine like terms: 21 + 3 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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