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Simplifying 5(x + 4) = -1(5x + 20) Reorder the terms: 5(4 + x) = -1(5x + 20) (4 * 5 + x * 5) = -1(5x + 20) (20 + 5x) = -1(5x + 20) Reorder the terms: 20 + 5x = -1(20 + 5x) 20 + 5x = (20 * -1 + 5x * -1) 20 + 5x = (-20 + -5x) Solving 20 + 5x = -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. 20 + 5x + 5x = -20 + -5x + 5x Combine like terms: 5x + 5x = 10x 20 + 10x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 10x = -20 + 0 20 + 10x = -20 Add '-20' to each side of the equation. 20 + -20 + 10x = -20 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = -20 + -20 10x = -20 + -20 Combine like terms: -20 + -20 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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