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Simplifying 12x + 9 + -8x = 17 + -8x + 4 Reorder the terms: 9 + 12x + -8x = 17 + -8x + 4 Combine like terms: 12x + -8x = 4x 9 + 4x = 17 + -8x + 4 Reorder the terms: 9 + 4x = 17 + 4 + -8x Combine like terms: 17 + 4 = 21 9 + 4x = 21 + -8x Solving 9 + 4x = 21 + -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. 9 + 4x + 8x = 21 + -8x + 8x Combine like terms: 4x + 8x = 12x 9 + 12x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 12x = 21 + 0 9 + 12x = 21 Add '-9' to each side of the equation. 9 + -9 + 12x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 21 + -9 12x = 21 + -9 Combine like terms: 21 + -9 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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