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