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Simplifying 27x + -18 + -6x + -6 = 1 + 45x Reorder the terms: -18 + -6 + 27x + -6x = 1 + 45x Combine like terms: -18 + -6 = -24 -24 + 27x + -6x = 1 + 45x Combine like terms: 27x + -6x = 21x -24 + 21x = 1 + 45x Solving -24 + 21x = 1 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -24 + 21x + -45x = 1 + 45x + -45x Combine like terms: 21x + -45x = -24x -24 + -24x = 1 + 45x + -45x Combine like terms: 45x + -45x = 0 -24 + -24x = 1 + 0 -24 + -24x = 1 Add '24' to each side of the equation. -24 + 24 + -24x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + -24x = 1 + 24 -24x = 1 + 24 Combine like terms: 1 + 24 = 25 -24x = 25 Divide each side by '-24'. x = -1.041666667 Simplifying x = -1.041666667
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