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Simplifying 5 + 4x = 9(5x + 3) Reorder the terms: 5 + 4x = 9(3 + 5x) 5 + 4x = (3 * 9 + 5x * 9) 5 + 4x = (27 + 45x) Solving 5 + 4x = 27 + 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. 5 + 4x + -45x = 27 + 45x + -45x Combine like terms: 4x + -45x = -41x 5 + -41x = 27 + 45x + -45x Combine like terms: 45x + -45x = 0 5 + -41x = 27 + 0 5 + -41x = 27 Add '-5' to each side of the equation. 5 + -5 + -41x = 27 + -5 Combine like terms: 5 + -5 = 0 0 + -41x = 27 + -5 -41x = 27 + -5 Combine like terms: 27 + -5 = 22 -41x = 22 Divide each side by '-41'. x = -0.5365853659 Simplifying x = -0.5365853659
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