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Simplifying 3(3x + 10) = 4(x + 20) Reorder the terms: 3(10 + 3x) = 4(x + 20) (10 * 3 + 3x * 3) = 4(x + 20) (30 + 9x) = 4(x + 20) Reorder the terms: 30 + 9x = 4(20 + x) 30 + 9x = (20 * 4 + x * 4) 30 + 9x = (80 + 4x) Solving 30 + 9x = 80 + 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. 30 + 9x + -4x = 80 + 4x + -4x Combine like terms: 9x + -4x = 5x 30 + 5x = 80 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 5x = 80 + 0 30 + 5x = 80 Add '-30' to each side of the equation. 30 + -30 + 5x = 80 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 80 + -30 5x = 80 + -30 Combine like terms: 80 + -30 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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