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Simplifying 9(x + -5) = 4x + -5 Reorder the terms: 9(-5 + x) = 4x + -5 (-5 * 9 + x * 9) = 4x + -5 (-45 + 9x) = 4x + -5 Reorder the terms: -45 + 9x = -5 + 4x Solving -45 + 9x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -45 + 9x + -4x = -5 + 4x + -4x Combine like terms: 9x + -4x = 5x -45 + 5x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 5x = -5 + 0 -45 + 5x = -5 Add '45' to each side of the equation. -45 + 45 + 5x = -5 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = -5 + 45 5x = -5 + 45 Combine like terms: -5 + 45 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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