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Simplifying 30(4x + 20) = 15(3x + 24) Reorder the terms: 30(20 + 4x) = 15(3x + 24) (20 * 30 + 4x * 30) = 15(3x + 24) (600 + 120x) = 15(3x + 24) Reorder the terms: 600 + 120x = 15(24 + 3x) 600 + 120x = (24 * 15 + 3x * 15) 600 + 120x = (360 + 45x) Solving 600 + 120x = 360 + 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. 600 + 120x + -45x = 360 + 45x + -45x Combine like terms: 120x + -45x = 75x 600 + 75x = 360 + 45x + -45x Combine like terms: 45x + -45x = 0 600 + 75x = 360 + 0 600 + 75x = 360 Add '-600' to each side of the equation. 600 + -600 + 75x = 360 + -600 Combine like terms: 600 + -600 = 0 0 + 75x = 360 + -600 75x = 360 + -600 Combine like terms: 360 + -600 = -240 75x = -240 Divide each side by '75'. x = -3.2 Simplifying x = -3.2
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