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Simplifying 5(2x + -4) = 5(x + 1) Reorder the terms: 5(-4 + 2x) = 5(x + 1) (-4 * 5 + 2x * 5) = 5(x + 1) (-20 + 10x) = 5(x + 1) Reorder the terms: -20 + 10x = 5(1 + x) -20 + 10x = (1 * 5 + x * 5) -20 + 10x = (5 + 5x) Solving -20 + 10x = 5 + 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. -20 + 10x + -5x = 5 + 5x + -5x Combine like terms: 10x + -5x = 5x -20 + 5x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 5x = 5 + 0 -20 + 5x = 5 Add '20' to each side of the equation. -20 + 20 + 5x = 5 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 5 + 20 5x = 5 + 20 Combine like terms: 5 + 20 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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