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Simplifying 3(4x + 5) + -4 = 9x + 20 Reorder the terms: 3(5 + 4x) + -4 = 9x + 20 (5 * 3 + 4x * 3) + -4 = 9x + 20 (15 + 12x) + -4 = 9x + 20 Reorder the terms: 15 + -4 + 12x = 9x + 20 Combine like terms: 15 + -4 = 11 11 + 12x = 9x + 20 Reorder the terms: 11 + 12x = 20 + 9x Solving 11 + 12x = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 11 + 12x + -9x = 20 + 9x + -9x Combine like terms: 12x + -9x = 3x 11 + 3x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + 3x = 20 + 0 11 + 3x = 20 Add '-11' to each side of the equation. 11 + -11 + 3x = 20 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 20 + -11 3x = 20 + -11 Combine like terms: 20 + -11 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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