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Simplifying 12x + 20x + -9 + 1 = 7x + 1 + -9 Reorder the terms: -9 + 1 + 12x + 20x = 7x + 1 + -9 Combine like terms: -9 + 1 = -8 -8 + 12x + 20x = 7x + 1 + -9 Combine like terms: 12x + 20x = 32x -8 + 32x = 7x + 1 + -9 Reorder the terms: -8 + 32x = 1 + -9 + 7x Combine like terms: 1 + -9 = -8 -8 + 32x = -8 + 7x Add '8' to each side of the equation. -8 + 8 + 32x = -8 + 8 + 7x Combine like terms: -8 + 8 = 0 0 + 32x = -8 + 8 + 7x 32x = -8 + 8 + 7x Combine like terms: -8 + 8 = 0 32x = 0 + 7x 32x = 7x Solving 32x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 32x + -7x = 7x + -7x Combine like terms: 32x + -7x = 25x 25x = 7x + -7x Combine like terms: 7x + -7x = 0 25x = 0 Divide each side by '25'. x = 0 Simplifying x = 0
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