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Simplifying -9(x + 4) = 5x + 6 Reorder the terms: -9(4 + x) = 5x + 6 (4 * -9 + x * -9) = 5x + 6 (-36 + -9x) = 5x + 6 Reorder the terms: -36 + -9x = 6 + 5x Solving -36 + -9x = 6 + 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 = 6 + 5x + -5x Combine like terms: -9x + -5x = -14x -36 + -14x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + -14x = 6 + 0 -36 + -14x = 6 Add '36' to each side of the equation. -36 + 36 + -14x = 6 + 36 Combine like terms: -36 + 36 = 0 0 + -14x = 6 + 36 -14x = 6 + 36 Combine like terms: 6 + 36 = 42 -14x = 42 Divide each side by '-14'. x = -3 Simplifying x = -3
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