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Simplifying 3(3x + 25) = 4(x + 15) Reorder the terms: 3(25 + 3x) = 4(x + 15) (25 * 3 + 3x * 3) = 4(x + 15) (75 + 9x) = 4(x + 15) Reorder the terms: 75 + 9x = 4(15 + x) 75 + 9x = (15 * 4 + x * 4) 75 + 9x = (60 + 4x) Solving 75 + 9x = 60 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 75 + 9x + -4x = 60 + 4x + -4x Combine like terms: 9x + -4x = 5x 75 + 5x = 60 + 4x + -4x Combine like terms: 4x + -4x = 0 75 + 5x = 60 + 0 75 + 5x = 60 Add '-75' to each side of the equation. 75 + -75 + 5x = 60 + -75 Combine like terms: 75 + -75 = 0 0 + 5x = 60 + -75 5x = 60 + -75 Combine like terms: 60 + -75 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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