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Simplifying 32(19 + -4.5x) = 15(4x + -8) + 54.8 (19 * 32 + -4.5x * 32) = 15(4x + -8) + 54.8 (608 + -144x) = 15(4x + -8) + 54.8 Reorder the terms: 608 + -144x = 15(-8 + 4x) + 54.8 608 + -144x = (-8 * 15 + 4x * 15) + 54.8 608 + -144x = (-120 + 60x) + 54.8 Reorder the terms: 608 + -144x = -120 + 54.8 + 60x Combine like terms: -120 + 54.8 = -65.2 608 + -144x = -65.2 + 60x Solving 608 + -144x = -65.2 + 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. 608 + -144x + -60x = -65.2 + 60x + -60x Combine like terms: -144x + -60x = -204x 608 + -204x = -65.2 + 60x + -60x Combine like terms: 60x + -60x = 0 608 + -204x = -65.2 + 0 608 + -204x = -65.2 Add '-608' to each side of the equation. 608 + -608 + -204x = -65.2 + -608 Combine like terms: 608 + -608 = 0 0 + -204x = -65.2 + -608 -204x = -65.2 + -608 Combine like terms: -65.2 + -608 = -673.2 -204x = -673.2 Divide each side by '-204'. x = 3.3 Simplifying x = 3.3
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