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Simplifying 9(x + -5) + 5(x + 5) = 5x + 5 Reorder the terms: 9(-5 + x) + 5(x + 5) = 5x + 5 (-5 * 9 + x * 9) + 5(x + 5) = 5x + 5 (-45 + 9x) + 5(x + 5) = 5x + 5 Reorder the terms: -45 + 9x + 5(5 + x) = 5x + 5 -45 + 9x + (5 * 5 + x * 5) = 5x + 5 -45 + 9x + (25 + 5x) = 5x + 5 Reorder the terms: -45 + 25 + 9x + 5x = 5x + 5 Combine like terms: -45 + 25 = -20 -20 + 9x + 5x = 5x + 5 Combine like terms: 9x + 5x = 14x -20 + 14x = 5x + 5 Reorder the terms: -20 + 14x = 5 + 5x Solving -20 + 14x = 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 + 14x + -5x = 5 + 5x + -5x Combine like terms: 14x + -5x = 9x -20 + 9x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 9x = 5 + 0 -20 + 9x = 5 Add '20' to each side of the equation. -20 + 20 + 9x = 5 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 5 + 20 9x = 5 + 20 Combine like terms: 5 + 20 = 25 9x = 25 Divide each side by '9'. x = 2.777777778 Simplifying x = 2.777777778
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