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Simplifying -9(x + 4) = 5(4 + -1x) Reorder the terms: -9(4 + x) = 5(4 + -1x) (4 * -9 + x * -9) = 5(4 + -1x) (-36 + -9x) = 5(4 + -1x) -36 + -9x = (4 * 5 + -1x * 5) -36 + -9x = (20 + -5x) Solving -36 + -9x = 20 + -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 = 20 + -5x + 5x Combine like terms: -9x + 5x = -4x -36 + -4x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + -4x = 20 + 0 -36 + -4x = 20 Add '36' to each side of the equation. -36 + 36 + -4x = 20 + 36 Combine like terms: -36 + 36 = 0 0 + -4x = 20 + 36 -4x = 20 + 36 Combine like terms: 20 + 36 = 56 -4x = 56 Divide each side by '-4'. x = -14 Simplifying x = -14
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