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Simplifying 8(x + -9) + -5(x + -9) = 27 Reorder the terms: 8(-9 + x) + -5(x + -9) = 27 (-9 * 8 + x * 8) + -5(x + -9) = 27 (-72 + 8x) + -5(x + -9) = 27 Reorder the terms: -72 + 8x + -5(-9 + x) = 27 -72 + 8x + (-9 * -5 + x * -5) = 27 -72 + 8x + (45 + -5x) = 27 Reorder the terms: -72 + 45 + 8x + -5x = 27 Combine like terms: -72 + 45 = -27 -27 + 8x + -5x = 27 Combine like terms: 8x + -5x = 3x -27 + 3x = 27 Solving -27 + 3x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 3x = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = 27 + 27 3x = 27 + 27 Combine like terms: 27 + 27 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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