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Simplifying 12x + 15x + -8 + 3 = -5x + 3 + -8 Reorder the terms: -8 + 3 + 12x + 15x = -5x + 3 + -8 Combine like terms: -8 + 3 = -5 -5 + 12x + 15x = -5x + 3 + -8 Combine like terms: 12x + 15x = 27x -5 + 27x = -5x + 3 + -8 Reorder the terms: -5 + 27x = 3 + -8 + -5x Combine like terms: 3 + -8 = -5 -5 + 27x = -5 + -5x Add '5' to each side of the equation. -5 + 5 + 27x = -5 + 5 + -5x Combine like terms: -5 + 5 = 0 0 + 27x = -5 + 5 + -5x 27x = -5 + 5 + -5x Combine like terms: -5 + 5 = 0 27x = 0 + -5x 27x = -5x Solving 27x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 27x + 5x = -5x + 5x Combine like terms: 27x + 5x = 32x 32x = -5x + 5x Combine like terms: -5x + 5x = 0 32x = 0 Divide each side by '32'. x = 0 Simplifying x = 0
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