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Simplifying 32(19 + -4.5x) = 11(4x + -9) + 49 (19 * 32 + -4.5x * 32) = 11(4x + -9) + 49 (608 + -144x) = 11(4x + -9) + 49 Reorder the terms: 608 + -144x = 11(-9 + 4x) + 49 608 + -144x = (-9 * 11 + 4x * 11) + 49 608 + -144x = (-99 + 44x) + 49 Reorder the terms: 608 + -144x = -99 + 49 + 44x Combine like terms: -99 + 49 = -50 608 + -144x = -50 + 44x Solving 608 + -144x = -50 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 608 + -144x + -44x = -50 + 44x + -44x Combine like terms: -144x + -44x = -188x 608 + -188x = -50 + 44x + -44x Combine like terms: 44x + -44x = 0 608 + -188x = -50 + 0 608 + -188x = -50 Add '-608' to each side of the equation. 608 + -608 + -188x = -50 + -608 Combine like terms: 608 + -608 = 0 0 + -188x = -50 + -608 -188x = -50 + -608 Combine like terms: -50 + -608 = -658 -188x = -658 Divide each side by '-188'. x = 3.5 Simplifying x = 3.5
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