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Simplifying 33x + -42 = 27x + 10 Reorder the terms: -42 + 33x = 27x + 10 Reorder the terms: -42 + 33x = 10 + 27x Solving -42 + 33x = 10 + 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. -42 + 33x + -27x = 10 + 27x + -27x Combine like terms: 33x + -27x = 6x -42 + 6x = 10 + 27x + -27x Combine like terms: 27x + -27x = 0 -42 + 6x = 10 + 0 -42 + 6x = 10 Add '42' to each side of the equation. -42 + 42 + 6x = 10 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 10 + 42 6x = 10 + 42 Combine like terms: 10 + 42 = 52 6x = 52 Divide each side by '6'. x = 8.666666667 Simplifying x = 8.666666667
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