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Simplifying 3(5x + -9) = 2(4x + 25) Reorder the terms: 3(-9 + 5x) = 2(4x + 25) (-9 * 3 + 5x * 3) = 2(4x + 25) (-27 + 15x) = 2(4x + 25) Reorder the terms: -27 + 15x = 2(25 + 4x) -27 + 15x = (25 * 2 + 4x * 2) -27 + 15x = (50 + 8x) Solving -27 + 15x = 50 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + 15x + -8x = 50 + 8x + -8x Combine like terms: 15x + -8x = 7x -27 + 7x = 50 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + 7x = 50 + 0 -27 + 7x = 50 Add '27' to each side of the equation. -27 + 27 + 7x = 50 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 50 + 27 7x = 50 + 27 Combine like terms: 50 + 27 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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