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Simplifying 9(x + -3) = 5(x + 5) Reorder the terms: 9(-3 + x) = 5(x + 5) (-3 * 9 + x * 9) = 5(x + 5) (-27 + 9x) = 5(x + 5) Reorder the terms: -27 + 9x = 5(5 + x) -27 + 9x = (5 * 5 + x * 5) -27 + 9x = (25 + 5x) Solving -27 + 9x = 25 + 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. -27 + 9x + -5x = 25 + 5x + -5x Combine like terms: 9x + -5x = 4x -27 + 4x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 4x = 25 + 0 -27 + 4x = 25 Add '27' to each side of the equation. -27 + 27 + 4x = 25 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 25 + 27 4x = 25 + 27 Combine like terms: 25 + 27 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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