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Simplifying 12x + 6 = 30x + -30 Reorder the terms: 6 + 12x = 30x + -30 Reorder the terms: 6 + 12x = -30 + 30x Solving 6 + 12x = -30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 6 + 12x + -30x = -30 + 30x + -30x Combine like terms: 12x + -30x = -18x 6 + -18x = -30 + 30x + -30x Combine like terms: 30x + -30x = 0 6 + -18x = -30 + 0 6 + -18x = -30 Add '-6' to each side of the equation. 6 + -6 + -18x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = -30 + -6 -18x = -30 + -6 Combine like terms: -30 + -6 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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