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Simplifying 12x + -4 = 27x + 1 Reorder the terms: -4 + 12x = 27x + 1 Reorder the terms: -4 + 12x = 1 + 27x Solving -4 + 12x = 1 + 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. -4 + 12x + -27x = 1 + 27x + -27x Combine like terms: 12x + -27x = -15x -4 + -15x = 1 + 27x + -27x Combine like terms: 27x + -27x = 0 -4 + -15x = 1 + 0 -4 + -15x = 1 Add '4' to each side of the equation. -4 + 4 + -15x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -15x = 1 + 4 -15x = 1 + 4 Combine like terms: 1 + 4 = 5 -15x = 5 Divide each side by '-15'. x = -0.3333333333 Simplifying x = -0.3333333333
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