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Simplifying -5(4x + -1) + 1 = 20x + 6 Reorder the terms: -5(-1 + 4x) + 1 = 20x + 6 (-1 * -5 + 4x * -5) + 1 = 20x + 6 (5 + -20x) + 1 = 20x + 6 Reorder the terms: 5 + 1 + -20x = 20x + 6 Combine like terms: 5 + 1 = 6 6 + -20x = 20x + 6 Reorder the terms: 6 + -20x = 6 + 20x Add '-6' to each side of the equation. 6 + -6 + -20x = 6 + -6 + 20x Combine like terms: 6 + -6 = 0 0 + -20x = 6 + -6 + 20x -20x = 6 + -6 + 20x Combine like terms: 6 + -6 = 0 -20x = 0 + 20x -20x = 20x Solving -20x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -20x + -20x = 20x + -20x Combine like terms: -20x + -20x = -40x -40x = 20x + -20x Combine like terms: 20x + -20x = 0 -40x = 0 Divide each side by '-40'. x = 0.0 Simplifying x = 0.0
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