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Simplifying 12 + -4x + 9 = 2 + 8x + 2 Reorder the terms: 12 + 9 + -4x = 2 + 8x + 2 Combine like terms: 12 + 9 = 21 21 + -4x = 2 + 8x + 2 Reorder the terms: 21 + -4x = 2 + 2 + 8x Combine like terms: 2 + 2 = 4 21 + -4x = 4 + 8x Solving 21 + -4x = 4 + 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 + -4x + -8x = 4 + 8x + -8x Combine like terms: -4x + -8x = -12x 21 + -12x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -12x = 4 + 0 21 + -12x = 4 Add '-21' to each side of the equation. 21 + -21 + -12x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = 4 + -21 -12x = 4 + -21 Combine like terms: 4 + -21 = -17 -12x = -17 Divide each side by '-12'. x = 1.416666667 Simplifying x = 1.416666667
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