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Simplifying (4x + -1) * 5 = 2x + 1 Reorder the terms: (-1 + 4x) * 5 = 2x + 1 Reorder the terms for easier multiplication: 5(-1 + 4x) = 2x + 1 (-1 * 5 + 4x * 5) = 2x + 1 (-5 + 20x) = 2x + 1 Reorder the terms: -5 + 20x = 1 + 2x Solving -5 + 20x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 20x + -2x = 1 + 2x + -2x Combine like terms: 20x + -2x = 18x -5 + 18x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 18x = 1 + 0 -5 + 18x = 1 Add '5' to each side of the equation. -5 + 5 + 18x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = 1 + 5 18x = 1 + 5 Combine like terms: 1 + 5 = 6 18x = 6 Divide each side by '18'. x = 0.3333333333 Simplifying x = 0.3333333333
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