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Simplifying 12x + -1 = 27x + -74 Reorder the terms: -1 + 12x = 27x + -74 Reorder the terms: -1 + 12x = -74 + 27x Solving -1 + 12x = -74 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -1 + 12x + -27x = -74 + 27x + -27x Combine like terms: 12x + -27x = -15x -1 + -15x = -74 + 27x + -27x Combine like terms: 27x + -27x = 0 -1 + -15x = -74 + 0 -1 + -15x = -74 Add '1' to each side of the equation. -1 + 1 + -15x = -74 + 1 Combine like terms: -1 + 1 = 0 0 + -15x = -74 + 1 -15x = -74 + 1 Combine like terms: -74 + 1 = -73 -15x = -73 Divide each side by '-15'. x = 4.866666667 Simplifying x = 4.866666667
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