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Simplifying 4(-4x + 1) + -5x = 46 Reorder the terms: 4(1 + -4x) + -5x = 46 (1 * 4 + -4x * 4) + -5x = 46 (4 + -16x) + -5x = 46 Combine like terms: -16x + -5x = -21x 4 + -21x = 46 Solving 4 + -21x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -21x = 46 + -4 Combine like terms: 4 + -4 = 0 0 + -21x = 46 + -4 -21x = 46 + -4 Combine like terms: 46 + -4 = 42 -21x = 42 Divide each side by '-21'. x = -2 Simplifying x = -2
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