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Simplifying 4(9x + 5) = 11(7x + -6) Reorder the terms: 4(5 + 9x) = 11(7x + -6) (5 * 4 + 9x * 4) = 11(7x + -6) (20 + 36x) = 11(7x + -6) Reorder the terms: 20 + 36x = 11(-6 + 7x) 20 + 36x = (-6 * 11 + 7x * 11) 20 + 36x = (-66 + 77x) Solving 20 + 36x = -66 + 77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77x' to each side of the equation. 20 + 36x + -77x = -66 + 77x + -77x Combine like terms: 36x + -77x = -41x 20 + -41x = -66 + 77x + -77x Combine like terms: 77x + -77x = 0 20 + -41x = -66 + 0 20 + -41x = -66 Add '-20' to each side of the equation. 20 + -20 + -41x = -66 + -20 Combine like terms: 20 + -20 = 0 0 + -41x = -66 + -20 -41x = -66 + -20 Combine like terms: -66 + -20 = -86 -41x = -86 Divide each side by '-41'. x = 2.097560976 Simplifying x = 2.097560976
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