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Simplifying 1.66(3x + -6) + 3 = 5.833(x + 6) + -0.79 Reorder the terms: 1.66(-6 + 3x) + 3 = 5.833(x + 6) + -0.79 (-6 * 1.66 + 3x * 1.66) + 3 = 5.833(x + 6) + -0.79 (-9.96 + 4.98x) + 3 = 5.833(x + 6) + -0.79 Reorder the terms: -9.96 + 3 + 4.98x = 5.833(x + 6) + -0.79 Combine like terms: -9.96 + 3 = -6.96 -6.96 + 4.98x = 5.833(x + 6) + -0.79 Reorder the terms: -6.96 + 4.98x = 5.833(6 + x) + -0.79 -6.96 + 4.98x = (6 * 5.833 + x * 5.833) + -0.79 -6.96 + 4.98x = (34.998 + 5.833x) + -0.79 Reorder the terms: -6.96 + 4.98x = 34.998 + -0.79 + 5.833x Combine like terms: 34.998 + -0.79 = 34.208 -6.96 + 4.98x = 34.208 + 5.833x Solving -6.96 + 4.98x = 34.208 + 5.833x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.833x' to each side of the equation. -6.96 + 4.98x + -5.833x = 34.208 + 5.833x + -5.833x Combine like terms: 4.98x + -5.833x = -0.853x -6.96 + -0.853x = 34.208 + 5.833x + -5.833x Combine like terms: 5.833x + -5.833x = 0.000 -6.96 + -0.853x = 34.208 + 0.000 -6.96 + -0.853x = 34.208 Add '6.96' to each side of the equation. -6.96 + 6.96 + -0.853x = 34.208 + 6.96 Combine like terms: -6.96 + 6.96 = 0.00 0.00 + -0.853x = 34.208 + 6.96 -0.853x = 34.208 + 6.96 Combine like terms: 34.208 + 6.96 = 41.168 -0.853x = 41.168 Divide each side by '-0.853'. x = -48.26260258 Simplifying x = -48.26260258
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