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Simplifying -5(1 + 4x) + 1 = x + 38 (1 * -5 + 4x * -5) + 1 = x + 38 (-5 + -20x) + 1 = x + 38 Reorder the terms: -5 + 1 + -20x = x + 38 Combine like terms: -5 + 1 = -4 -4 + -20x = x + 38 Reorder the terms: -4 + -20x = 38 + x Solving -4 + -20x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + -20x + -1x = 38 + x + -1x Combine like terms: -20x + -1x = -21x -4 + -21x = 38 + x + -1x Combine like terms: x + -1x = 0 -4 + -21x = 38 + 0 -4 + -21x = 38 Add '4' to each side of the equation. -4 + 4 + -21x = 38 + 4 Combine like terms: -4 + 4 = 0 0 + -21x = 38 + 4 -21x = 38 + 4 Combine like terms: 38 + 4 = 42 -21x = 42 Divide each side by '-21'. x = -2 Simplifying x = -2
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