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