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Simplifying 4x + 5(7x + -3) = 9(x + 5) Reorder the terms: 4x + 5(-3 + 7x) = 9(x + 5) 4x + (-3 * 5 + 7x * 5) = 9(x + 5) 4x + (-15 + 35x) = 9(x + 5) Reorder the terms: -15 + 4x + 35x = 9(x + 5) Combine like terms: 4x + 35x = 39x -15 + 39x = 9(x + 5) Reorder the terms: -15 + 39x = 9(5 + x) -15 + 39x = (5 * 9 + x * 9) -15 + 39x = (45 + 9x) Solving -15 + 39x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + 39x + -9x = 45 + 9x + -9x Combine like terms: 39x + -9x = 30x -15 + 30x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 30x = 45 + 0 -15 + 30x = 45 Add '15' to each side of the equation. -15 + 15 + 30x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 30x = 45 + 15 30x = 45 + 15 Combine like terms: 45 + 15 = 60 30x = 60 Divide each side by '30'. x = 2 Simplifying x = 2
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