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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 = -34x -45 + -39x = -7 + -34x Solving -45 + -39x = -7 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. -45 + -39x + 34x = -7 + -34x + 34x Combine like terms: -39x + 34x = -5x -45 + -5x = -7 + -34x + 34x Combine like terms: -34x + 34x = 0 -45 + -5x = -7 + 0 -45 + -5x = -7 Add '45' to each side of the equation. -45 + 45 + -5x = -7 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = -7 + 45 -5x = -7 + 45 Combine like terms: -7 + 45 = 38 -5x = 38 Divide each side by '-5'. x = -7.6 Simplifying x = -7.6
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