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Simplifying 4(3x + 4) + -20 = 3 + 5x Reorder the terms: 4(4 + 3x) + -20 = 3 + 5x (4 * 4 + 3x * 4) + -20 = 3 + 5x (16 + 12x) + -20 = 3 + 5x Reorder the terms: 16 + -20 + 12x = 3 + 5x Combine like terms: 16 + -20 = -4 -4 + 12x = 3 + 5x Solving -4 + 12x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 12x + -5x = 3 + 5x + -5x Combine like terms: 12x + -5x = 7x -4 + 7x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 7x = 3 + 0 -4 + 7x = 3 Add '4' to each side of the equation. -4 + 4 + 7x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 3 + 4 7x = 3 + 4 Combine like terms: 3 + 4 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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