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Simplifying 9(x + -2) = -5(x + 4) + 36 Reorder the terms: 9(-2 + x) = -5(x + 4) + 36 (-2 * 9 + x * 9) = -5(x + 4) + 36 (-18 + 9x) = -5(x + 4) + 36 Reorder the terms: -18 + 9x = -5(4 + x) + 36 -18 + 9x = (4 * -5 + x * -5) + 36 -18 + 9x = (-20 + -5x) + 36 Reorder the terms: -18 + 9x = -20 + 36 + -5x Combine like terms: -20 + 36 = 16 -18 + 9x = 16 + -5x Solving -18 + 9x = 16 + -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. -18 + 9x + 5x = 16 + -5x + 5x Combine like terms: 9x + 5x = 14x -18 + 14x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 14x = 16 + 0 -18 + 14x = 16 Add '18' to each side of the equation. -18 + 18 + 14x = 16 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = 16 + 18 14x = 16 + 18 Combine like terms: 16 + 18 = 34 14x = 34 Divide each side by '14'. x = 2.428571429 Simplifying x = 2.428571429
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