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Simplifying 4(x + 5) = -5(x + -9) Reorder the terms: 4(5 + x) = -5(x + -9) (5 * 4 + x * 4) = -5(x + -9) (20 + 4x) = -5(x + -9) Reorder the terms: 20 + 4x = -5(-9 + x) 20 + 4x = (-9 * -5 + x * -5) 20 + 4x = (45 + -5x) Solving 20 + 4x = 45 + -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 + 4x + 5x = 45 + -5x + 5x Combine like terms: 4x + 5x = 9x 20 + 9x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 9x = 45 + 0 20 + 9x = 45 Add '-20' to each side of the equation. 20 + -20 + 9x = 45 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = 45 + -20 9x = 45 + -20 Combine like terms: 45 + -20 = 25 9x = 25 Divide each side by '9'. x = 2.777777778 Simplifying x = 2.777777778
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