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Simplifying 4[-8 + -2x + -4x] + [3x + 5] = 21 Combine like terms: -2x + -4x = -6x 4[-8 + -6x] + [3x + 5] = 21 [-8 * 4 + -6x * 4] + [3x + 5] = 21 [-32 + -24x] + [3x + 5] = 21 Reorder the terms: -32 + -24x + [5 + 3x] = 21 Remove brackets around [5 + 3x] -32 + -24x + 5 + 3x = 21 Reorder the terms: -32 + 5 + -24x + 3x = 21 Combine like terms: -32 + 5 = -27 -27 + -24x + 3x = 21 Combine like terms: -24x + 3x = -21x -27 + -21x = 21 Solving -27 + -21x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -21x = 21 + 27 Combine like terms: -27 + 27 = 0 0 + -21x = 21 + 27 -21x = 21 + 27 Combine like terms: 21 + 27 = 48 -21x = 48 Divide each side by '-21'. x = -2.285714286 Simplifying x = -2.285714286
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