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Simplifying [(3x + 20) * 4] + -1 = 5x + 4 Reorder the terms: [(20 + 3x) * 4] + -1 = 5x + 4 Reorder the terms for easier multiplication: [4(20 + 3x)] + -1 = 5x + 4 [(20 * 4 + 3x * 4)] + -1 = 5x + 4 [(80 + 12x)] + -1 = 5x + 4 [80 + 12x] + -1 = 5x + 4 Remove brackets around [80 + 12x] 80 + 12x + -1 = 5x + 4 Reorder the terms: 80 + -1 + 12x = 5x + 4 Combine like terms: 80 + -1 = 79 79 + 12x = 5x + 4 Reorder the terms: 79 + 12x = 4 + 5x Solving 79 + 12x = 4 + 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. 79 + 12x + -5x = 4 + 5x + -5x Combine like terms: 12x + -5x = 7x 79 + 7x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 79 + 7x = 4 + 0 79 + 7x = 4 Add '-79' to each side of the equation. 79 + -79 + 7x = 4 + -79 Combine like terms: 79 + -79 = 0 0 + 7x = 4 + -79 7x = 4 + -79 Combine like terms: 4 + -79 = -75 7x = -75 Divide each side by '7'. x = -10.71428571 Simplifying x = -10.71428571
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