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Simplifying 3.253x + -8.635 = -3.9(8.628x + 4.916) Reorder the terms: -8.635 + 3.253x = -3.9(8.628x + 4.916) Reorder the terms: -8.635 + 3.253x = -3.9(4.916 + 8.628x) -8.635 + 3.253x = (4.916 * -3.9 + 8.628x * -3.9) -8.635 + 3.253x = (-19.1724 + -33.6492x) Solving -8.635 + 3.253x = -19.1724 + -33.6492x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33.6492x' to each side of the equation. -8.635 + 3.253x + 33.6492x = -19.1724 + -33.6492x + 33.6492x Combine like terms: 3.253x + 33.6492x = 36.9022x -8.635 + 36.9022x = -19.1724 + -33.6492x + 33.6492x Combine like terms: -33.6492x + 33.6492x = 0.0000 -8.635 + 36.9022x = -19.1724 + 0.0000 -8.635 + 36.9022x = -19.1724 Add '8.635' to each side of the equation. -8.635 + 8.635 + 36.9022x = -19.1724 + 8.635 Combine like terms: -8.635 + 8.635 = 0.000 0.000 + 36.9022x = -19.1724 + 8.635 36.9022x = -19.1724 + 8.635 Combine like terms: -19.1724 + 8.635 = -10.5374 36.9022x = -10.5374 Divide each side by '36.9022'. x = -0.285549371 Simplifying x = -0.285549371
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