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Simplifying 38(38 + -6.5x) = 13(6x + -9) + 33.5 (38 * 38 + -6.5x * 38) = 13(6x + -9) + 33.5 (1444 + -247x) = 13(6x + -9) + 33.5 Reorder the terms: 1444 + -247x = 13(-9 + 6x) + 33.5 1444 + -247x = (-9 * 13 + 6x * 13) + 33.5 1444 + -247x = (-117 + 78x) + 33.5 Reorder the terms: 1444 + -247x = -117 + 33.5 + 78x Combine like terms: -117 + 33.5 = -83.5 1444 + -247x = -83.5 + 78x Solving 1444 + -247x = -83.5 + 78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78x' to each side of the equation. 1444 + -247x + -78x = -83.5 + 78x + -78x Combine like terms: -247x + -78x = -325x 1444 + -325x = -83.5 + 78x + -78x Combine like terms: 78x + -78x = 0 1444 + -325x = -83.5 + 0 1444 + -325x = -83.5 Add '-1444' to each side of the equation. 1444 + -1444 + -325x = -83.5 + -1444 Combine like terms: 1444 + -1444 = 0 0 + -325x = -83.5 + -1444 -325x = -83.5 + -1444 Combine like terms: -83.5 + -1444 = -1527.5 -325x = -1527.5 Divide each side by '-325'. x = 4.7 Simplifying x = 4.7
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