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Simplifying 4(2x + 5) = 3(x + 15) Reorder the terms: 4(5 + 2x) = 3(x + 15) (5 * 4 + 2x * 4) = 3(x + 15) (20 + 8x) = 3(x + 15) Reorder the terms: 20 + 8x = 3(15 + x) 20 + 8x = (15 * 3 + x * 3) 20 + 8x = (45 + 3x) Solving 20 + 8x = 45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + 8x + -3x = 45 + 3x + -3x Combine like terms: 8x + -3x = 5x 20 + 5x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 5x = 45 + 0 20 + 5x = 45 Add '-20' to each side of the equation. 20 + -20 + 5x = 45 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 45 + -20 5x = 45 + -20 Combine like terms: 45 + -20 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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