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Simplifying 9(x + 4) = 4 + -5x Reorder the terms: 9(4 + x) = 4 + -5x (4 * 9 + x * 9) = 4 + -5x (36 + 9x) = 4 + -5x Solving 36 + 9x = 4 + -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. 36 + 9x + 5x = 4 + -5x + 5x Combine like terms: 9x + 5x = 14x 36 + 14x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 36 + 14x = 4 + 0 36 + 14x = 4 Add '-36' to each side of the equation. 36 + -36 + 14x = 4 + -36 Combine like terms: 36 + -36 = 0 0 + 14x = 4 + -36 14x = 4 + -36 Combine like terms: 4 + -36 = -32 14x = -32 Divide each side by '14'. x = -2.285714286 Simplifying x = -2.285714286
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