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Simplifying -4[x + 3(x + -5)] = 3(3x + 20) Reorder the terms: -4[x + 3(-5 + x)] = 3(3x + 20) -4[x + (-5 * 3 + x * 3)] = 3(3x + 20) -4[x + (-15 + 3x)] = 3(3x + 20) Reorder the terms: -4[-15 + x + 3x] = 3(3x + 20) Combine like terms: x + 3x = 4x -4[-15 + 4x] = 3(3x + 20) [-15 * -4 + 4x * -4] = 3(3x + 20) [60 + -16x] = 3(3x + 20) Reorder the terms: 60 + -16x = 3(20 + 3x) 60 + -16x = (20 * 3 + 3x * 3) 60 + -16x = (60 + 9x) Add '-60' to each side of the equation. 60 + -60 + -16x = 60 + -60 + 9x Combine like terms: 60 + -60 = 0 0 + -16x = 60 + -60 + 9x -16x = 60 + -60 + 9x Combine like terms: 60 + -60 = 0 -16x = 0 + 9x -16x = 9x Solving -16x = 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. -16x + -9x = 9x + -9x Combine like terms: -16x + -9x = -25x -25x = 9x + -9x Combine like terms: 9x + -9x = 0 -25x = 0 Divide each side by '-25'. x = 0 Simplifying x = 0
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