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Simplifying 9(x + -3) = -5(x + 2) + 18 Reorder the terms: 9(-3 + x) = -5(x + 2) + 18 (-3 * 9 + x * 9) = -5(x + 2) + 18 (-27 + 9x) = -5(x + 2) + 18 Reorder the terms: -27 + 9x = -5(2 + x) + 18 -27 + 9x = (2 * -5 + x * -5) + 18 -27 + 9x = (-10 + -5x) + 18 Reorder the terms: -27 + 9x = -10 + 18 + -5x Combine like terms: -10 + 18 = 8 -27 + 9x = 8 + -5x Solving -27 + 9x = 8 + -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 = 8 + -5x + 5x Combine like terms: 9x + 5x = 14x -27 + 14x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 14x = 8 + 0 -27 + 14x = 8 Add '27' to each side of the equation. -27 + 27 + 14x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 14x = 8 + 27 14x = 8 + 27 Combine like terms: 8 + 27 = 35 14x = 35 Divide each side by '14'. x = 2.5 Simplifying x = 2.5
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