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Simplifying -5x + 1 = 4(4x + -5) Reorder the terms: 1 + -5x = 4(4x + -5) Reorder the terms: 1 + -5x = 4(-5 + 4x) 1 + -5x = (-5 * 4 + 4x * 4) 1 + -5x = (-20 + 16x) Solving 1 + -5x = -20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 1 + -5x + -16x = -20 + 16x + -16x Combine like terms: -5x + -16x = -21x 1 + -21x = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 1 + -21x = -20 + 0 1 + -21x = -20 Add '-1' to each side of the equation. 1 + -1 + -21x = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -21x = -20 + -1 -21x = -20 + -1 Combine like terms: -20 + -1 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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