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Simplifying 12x + 15x + -8 + 2 = -8x + 2 + -8 Reorder the terms: -8 + 2 + 12x + 15x = -8x + 2 + -8 Combine like terms: -8 + 2 = -6 -6 + 12x + 15x = -8x + 2 + -8 Combine like terms: 12x + 15x = 27x -6 + 27x = -8x + 2 + -8 Reorder the terms: -6 + 27x = 2 + -8 + -8x Combine like terms: 2 + -8 = -6 -6 + 27x = -6 + -8x Add '6' to each side of the equation. -6 + 6 + 27x = -6 + 6 + -8x Combine like terms: -6 + 6 = 0 0 + 27x = -6 + 6 + -8x 27x = -6 + 6 + -8x Combine like terms: -6 + 6 = 0 27x = 0 + -8x 27x = -8x Solving 27x = -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. 27x + 8x = -8x + 8x Combine like terms: 27x + 8x = 35x 35x = -8x + 8x Combine like terms: -8x + 8x = 0 35x = 0 Divide each side by '35'. x = 0 Simplifying x = 0
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