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Simplifying 34(13 + -4.5x) = 15(4x + -8) + 50.8 (13 * 34 + -4.5x * 34) = 15(4x + -8) + 50.8 (442 + -153x) = 15(4x + -8) + 50.8 Reorder the terms: 442 + -153x = 15(-8 + 4x) + 50.8 442 + -153x = (-8 * 15 + 4x * 15) + 50.8 442 + -153x = (-120 + 60x) + 50.8 Reorder the terms: 442 + -153x = -120 + 50.8 + 60x Combine like terms: -120 + 50.8 = -69.2 442 + -153x = -69.2 + 60x Solving 442 + -153x = -69.2 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 442 + -153x + -60x = -69.2 + 60x + -60x Combine like terms: -153x + -60x = -213x 442 + -213x = -69.2 + 60x + -60x Combine like terms: 60x + -60x = 0 442 + -213x = -69.2 + 0 442 + -213x = -69.2 Add '-442' to each side of the equation. 442 + -442 + -213x = -69.2 + -442 Combine like terms: 442 + -442 = 0 0 + -213x = -69.2 + -442 -213x = -69.2 + -442 Combine like terms: -69.2 + -442 = -511.2 -213x = -511.2 Divide each side by '-213'. x = 2.4 Simplifying x = 2.4
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