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Simplifying 7(3x + -9) = 11(4x + 7) Reorder the terms: 7(-9 + 3x) = 11(4x + 7) (-9 * 7 + 3x * 7) = 11(4x + 7) (-63 + 21x) = 11(4x + 7) Reorder the terms: -63 + 21x = 11(7 + 4x) -63 + 21x = (7 * 11 + 4x * 11) -63 + 21x = (77 + 44x) Solving -63 + 21x = 77 + 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. -63 + 21x + -44x = 77 + 44x + -44x Combine like terms: 21x + -44x = -23x -63 + -23x = 77 + 44x + -44x Combine like terms: 44x + -44x = 0 -63 + -23x = 77 + 0 -63 + -23x = 77 Add '63' to each side of the equation. -63 + 63 + -23x = 77 + 63 Combine like terms: -63 + 63 = 0 0 + -23x = 77 + 63 -23x = 77 + 63 Combine like terms: 77 + 63 = 140 -23x = 140 Divide each side by '-23'. x = -6.086956522 Simplifying x = -6.086956522
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