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Simplifying -9(11x + 9) = 48(32 + 4x) Reorder the terms: -9(9 + 11x) = 48(32 + 4x) (9 * -9 + 11x * -9) = 48(32 + 4x) (-81 + -99x) = 48(32 + 4x) -81 + -99x = (32 * 48 + 4x * 48) -81 + -99x = (1536 + 192x) Solving -81 + -99x = 1536 + 192x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-192x' to each side of the equation. -81 + -99x + -192x = 1536 + 192x + -192x Combine like terms: -99x + -192x = -291x -81 + -291x = 1536 + 192x + -192x Combine like terms: 192x + -192x = 0 -81 + -291x = 1536 + 0 -81 + -291x = 1536 Add '81' to each side of the equation. -81 + 81 + -291x = 1536 + 81 Combine like terms: -81 + 81 = 0 0 + -291x = 1536 + 81 -291x = 1536 + 81 Combine like terms: 1536 + 81 = 1617 -291x = 1617 Divide each side by '-291'. x = -5.556701031 Simplifying x = -5.556701031
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