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Simplifying 9x + -1(2x + 5) = 5x + (3x + -5) Reorder the terms: 9x + -1(5 + 2x) = 5x + (3x + -5) 9x + (5 * -1 + 2x * -1) = 5x + (3x + -5) 9x + (-5 + -2x) = 5x + (3x + -5) Reorder the terms: -5 + 9x + -2x = 5x + (3x + -5) Combine like terms: 9x + -2x = 7x -5 + 7x = 5x + (3x + -5) Reorder the terms: -5 + 7x = 5x + (-5 + 3x) Remove parenthesis around (-5 + 3x) -5 + 7x = 5x + -5 + 3x Reorder the terms: -5 + 7x = -5 + 5x + 3x Combine like terms: 5x + 3x = 8x -5 + 7x = -5 + 8x Add '5' to each side of the equation. -5 + 5 + 7x = -5 + 5 + 8x Combine like terms: -5 + 5 = 0 0 + 7x = -5 + 5 + 8x 7x = -5 + 5 + 8x Combine like terms: -5 + 5 = 0 7x = 0 + 8x 7x = 8x Solving 7x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7x + -8x = 8x + -8x Combine like terms: 7x + -8x = -1x -1x = 8x + -8x Combine like terms: 8x + -8x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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