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Simplifying 12x + -5 = 30x + 1 Reorder the terms: -5 + 12x = 30x + 1 Reorder the terms: -5 + 12x = 1 + 30x Solving -5 + 12x = 1 + 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. -5 + 12x + -30x = 1 + 30x + -30x Combine like terms: 12x + -30x = -18x -5 + -18x = 1 + 30x + -30x Combine like terms: 30x + -30x = 0 -5 + -18x = 1 + 0 -5 + -18x = 1 Add '5' to each side of the equation. -5 + 5 + -18x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -18x = 1 + 5 -18x = 1 + 5 Combine like terms: 1 + 5 = 6 -18x = 6 Divide each side by '-18'. x = -0.3333333333 Simplifying x = -0.3333333333
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