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Simplifying 5(x + 5) = -5(3x + 4) Reorder the terms: 5(5 + x) = -5(3x + 4) (5 * 5 + x * 5) = -5(3x + 4) (25 + 5x) = -5(3x + 4) Reorder the terms: 25 + 5x = -5(4 + 3x) 25 + 5x = (4 * -5 + 3x * -5) 25 + 5x = (-20 + -15x) Solving 25 + 5x = -20 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 25 + 5x + 15x = -20 + -15x + 15x Combine like terms: 5x + 15x = 20x 25 + 20x = -20 + -15x + 15x Combine like terms: -15x + 15x = 0 25 + 20x = -20 + 0 25 + 20x = -20 Add '-25' to each side of the equation. 25 + -25 + 20x = -20 + -25 Combine like terms: 25 + -25 = 0 0 + 20x = -20 + -25 20x = -20 + -25 Combine like terms: -20 + -25 = -45 20x = -45 Divide each side by '20'. x = -2.25 Simplifying x = -2.25
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