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Simplifying 34(47 + -5.5x) = 13(5x + -7) + 25.8 (47 * 34 + -5.5x * 34) = 13(5x + -7) + 25.8 (1598 + -187x) = 13(5x + -7) + 25.8 Reorder the terms: 1598 + -187x = 13(-7 + 5x) + 25.8 1598 + -187x = (-7 * 13 + 5x * 13) + 25.8 1598 + -187x = (-91 + 65x) + 25.8 Reorder the terms: 1598 + -187x = -91 + 25.8 + 65x Combine like terms: -91 + 25.8 = -65.2 1598 + -187x = -65.2 + 65x Solving 1598 + -187x = -65.2 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 1598 + -187x + -65x = -65.2 + 65x + -65x Combine like terms: -187x + -65x = -252x 1598 + -252x = -65.2 + 65x + -65x Combine like terms: 65x + -65x = 0 1598 + -252x = -65.2 + 0 1598 + -252x = -65.2 Add '-1598' to each side of the equation. 1598 + -1598 + -252x = -65.2 + -1598 Combine like terms: 1598 + -1598 = 0 0 + -252x = -65.2 + -1598 -252x = -65.2 + -1598 Combine like terms: -65.2 + -1598 = -1663.2 -252x = -1663.2 Divide each side by '-252'. x = 6.6 Simplifying x = 6.6
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