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Simplifying 42x + -1 = 69x + -82 Reorder the terms: -1 + 42x = 69x + -82 Reorder the terms: -1 + 42x = -82 + 69x Solving -1 + 42x = -82 + 69x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69x' to each side of the equation. -1 + 42x + -69x = -82 + 69x + -69x Combine like terms: 42x + -69x = -27x -1 + -27x = -82 + 69x + -69x Combine like terms: 69x + -69x = 0 -1 + -27x = -82 + 0 -1 + -27x = -82 Add '1' to each side of the equation. -1 + 1 + -27x = -82 + 1 Combine like terms: -1 + 1 = 0 0 + -27x = -82 + 1 -27x = -82 + 1 Combine like terms: -82 + 1 = -81 -27x = -81 Divide each side by '-27'. x = 3 Simplifying x = 3
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