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Simplifying 12 + 9 = 8x + 1 + 4x Combine like terms: 12 + 9 = 21 21 = 8x + 1 + 4x Reorder the terms: 21 = 1 + 8x + 4x Combine like terms: 8x + 4x = 12x 21 = 1 + 12x Solving 21 = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + -12x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -12x = 1 + 0 21 + -12x = 1 Add '-21' to each side of the equation. 21 + -21 + -12x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = 1 + -21 -12x = 1 + -21 Combine like terms: 1 + -21 = -20 -12x = -20 Divide each side by '-12'. x = 1.666666667 Simplifying x = 1.666666667
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