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Simplifying 34(55 + -6.5x) = 11(6x + -8) + 6.4 (55 * 34 + -6.5x * 34) = 11(6x + -8) + 6.4 (1870 + -221x) = 11(6x + -8) + 6.4 Reorder the terms: 1870 + -221x = 11(-8 + 6x) + 6.4 1870 + -221x = (-8 * 11 + 6x * 11) + 6.4 1870 + -221x = (-88 + 66x) + 6.4 Reorder the terms: 1870 + -221x = -88 + 6.4 + 66x Combine like terms: -88 + 6.4 = -81.6 1870 + -221x = -81.6 + 66x Solving 1870 + -221x = -81.6 + 66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66x' to each side of the equation. 1870 + -221x + -66x = -81.6 + 66x + -66x Combine like terms: -221x + -66x = -287x 1870 + -287x = -81.6 + 66x + -66x Combine like terms: 66x + -66x = 0 1870 + -287x = -81.6 + 0 1870 + -287x = -81.6 Add '-1870' to each side of the equation. 1870 + -1870 + -287x = -81.6 + -1870 Combine like terms: 1870 + -1870 = 0 0 + -287x = -81.6 + -1870 -287x = -81.6 + -1870 Combine like terms: -81.6 + -1870 = -1951.6 -287x = -1951.6 Divide each side by '-287'. x = 6.8 Simplifying x = 6.8
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