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Simplifying 12x + 18x + -6 + 2 = -7x + 2 + -6 Reorder the terms: -6 + 2 + 12x + 18x = -7x + 2 + -6 Combine like terms: -6 + 2 = -4 -4 + 12x + 18x = -7x + 2 + -6 Combine like terms: 12x + 18x = 30x -4 + 30x = -7x + 2 + -6 Reorder the terms: -4 + 30x = 2 + -6 + -7x Combine like terms: 2 + -6 = -4 -4 + 30x = -4 + -7x Add '4' to each side of the equation. -4 + 4 + 30x = -4 + 4 + -7x Combine like terms: -4 + 4 = 0 0 + 30x = -4 + 4 + -7x 30x = -4 + 4 + -7x Combine like terms: -4 + 4 = 0 30x = 0 + -7x 30x = -7x Solving 30x = -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. 30x + 7x = -7x + 7x Combine like terms: 30x + 7x = 37x 37x = -7x + 7x Combine like terms: -7x + 7x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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