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Simplifying 5(2x + -1) = 5(x + 4) Reorder the terms: 5(-1 + 2x) = 5(x + 4) (-1 * 5 + 2x * 5) = 5(x + 4) (-5 + 10x) = 5(x + 4) Reorder the terms: -5 + 10x = 5(4 + x) -5 + 10x = (4 * 5 + x * 5) -5 + 10x = (20 + 5x) Solving -5 + 10x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 10x + -5x = 20 + 5x + -5x Combine like terms: 10x + -5x = 5x -5 + 5x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 5x = 20 + 0 -5 + 5x = 20 Add '5' to each side of the equation. -5 + 5 + 5x = 20 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 20 + 5 5x = 20 + 5 Combine like terms: 20 + 5 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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