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Simplifying 12x + 18x + -8 + 2 = -8x + 2 + -8 Reorder the terms: -8 + 2 + 12x + 18x = -8x + 2 + -8 Combine like terms: -8 + 2 = -6 -6 + 12x + 18x = -8x + 2 + -8 Combine like terms: 12x + 18x = 30x -6 + 30x = -8x + 2 + -8 Reorder the terms: -6 + 30x = 2 + -8 + -8x Combine like terms: 2 + -8 = -6 -6 + 30x = -6 + -8x Add '6' to each side of the equation. -6 + 6 + 30x = -6 + 6 + -8x Combine like terms: -6 + 6 = 0 0 + 30x = -6 + 6 + -8x 30x = -6 + 6 + -8x Combine like terms: -6 + 6 = 0 30x = 0 + -8x 30x = -8x Solving 30x = -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. 30x + 8x = -8x + 8x Combine like terms: 30x + 8x = 38x 38x = -8x + 8x Combine like terms: -8x + 8x = 0 38x = 0 Divide each side by '38'. x = 0 Simplifying x = 0
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