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Simplifying 5(x + -1) = 9(x + 4) Reorder the terms: 5(-1 + x) = 9(x + 4) (-1 * 5 + x * 5) = 9(x + 4) (-5 + 5x) = 9(x + 4) Reorder the terms: -5 + 5x = 9(4 + x) -5 + 5x = (4 * 9 + x * 9) -5 + 5x = (36 + 9x) Solving -5 + 5x = 36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 5x + -9x = 36 + 9x + -9x Combine like terms: 5x + -9x = -4x -5 + -4x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -4x = 36 + 0 -5 + -4x = 36 Add '5' to each side of the equation. -5 + 5 + -4x = 36 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 36 + 5 -4x = 36 + 5 Combine like terms: 36 + 5 = 41 -4x = 41 Divide each side by '-4'. x = -10.25 Simplifying x = -10.25
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