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Simplifying 42x + -45 + -81x = 32x + -7 + -2x Reorder the terms: -45 + 42x + -81x = 32x + -7 + -2x Combine like terms: 42x + -81x = -39x -45 + -39x = 32x + -7 + -2x Reorder the terms: -45 + -39x = -7 + 32x + -2x Combine like terms: 32x + -2x = 30x -45 + -39x = -7 + 30x Solving -45 + -39x = -7 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -45 + -39x + -30x = -7 + 30x + -30x Combine like terms: -39x + -30x = -69x -45 + -69x = -7 + 30x + -30x Combine like terms: 30x + -30x = 0 -45 + -69x = -7 + 0 -45 + -69x = -7 Add '45' to each side of the equation. -45 + 45 + -69x = -7 + 45 Combine like terms: -45 + 45 = 0 0 + -69x = -7 + 45 -69x = -7 + 45 Combine like terms: -7 + 45 = 38 -69x = 38 Divide each side by '-69'. x = -0.5507246377 Simplifying x = -0.5507246377
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