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Simplifying 12x + 20x + -6 + 5 = -6x + 5 + -6 Reorder the terms: -6 + 5 + 12x + 20x = -6x + 5 + -6 Combine like terms: -6 + 5 = -1 -1 + 12x + 20x = -6x + 5 + -6 Combine like terms: 12x + 20x = 32x -1 + 32x = -6x + 5 + -6 Reorder the terms: -1 + 32x = 5 + -6 + -6x Combine like terms: 5 + -6 = -1 -1 + 32x = -1 + -6x Add '1' to each side of the equation. -1 + 1 + 32x = -1 + 1 + -6x Combine like terms: -1 + 1 = 0 0 + 32x = -1 + 1 + -6x 32x = -1 + 1 + -6x Combine like terms: -1 + 1 = 0 32x = 0 + -6x 32x = -6x Solving 32x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 32x + 6x = -6x + 6x Combine like terms: 32x + 6x = 38x 38x = -6x + 6x Combine like terms: -6x + 6x = 0 38x = 0 Divide each side by '38'. x = 0 Simplifying x = 0
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