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Simplifying 12x + 20x + -9 + 1 = -9x + 1 + -9 Reorder the terms: -9 + 1 + 12x + 20x = -9x + 1 + -9 Combine like terms: -9 + 1 = -8 -8 + 12x + 20x = -9x + 1 + -9 Combine like terms: 12x + 20x = 32x -8 + 32x = -9x + 1 + -9 Reorder the terms: -8 + 32x = 1 + -9 + -9x Combine like terms: 1 + -9 = -8 -8 + 32x = -8 + -9x Add '8' to each side of the equation. -8 + 8 + 32x = -8 + 8 + -9x Combine like terms: -8 + 8 = 0 0 + 32x = -8 + 8 + -9x 32x = -8 + 8 + -9x Combine like terms: -8 + 8 = 0 32x = 0 + -9x 32x = -9x Solving 32x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 32x + 9x = -9x + 9x Combine like terms: 32x + 9x = 41x 41x = -9x + 9x Combine like terms: -9x + 9x = 0 41x = 0 Divide each side by '41'. x = 0 Simplifying x = 0
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