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Simplifying 11(4x + 3) = 5(9x + 5) Reorder the terms: 11(3 + 4x) = 5(9x + 5) (3 * 11 + 4x * 11) = 5(9x + 5) (33 + 44x) = 5(9x + 5) Reorder the terms: 33 + 44x = 5(5 + 9x) 33 + 44x = (5 * 5 + 9x * 5) 33 + 44x = (25 + 45x) Solving 33 + 44x = 25 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 33 + 44x + -45x = 25 + 45x + -45x Combine like terms: 44x + -45x = -1x 33 + -1x = 25 + 45x + -45x Combine like terms: 45x + -45x = 0 33 + -1x = 25 + 0 33 + -1x = 25 Add '-33' to each side of the equation. 33 + -33 + -1x = 25 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = 25 + -33 -1x = 25 + -33 Combine like terms: 25 + -33 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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