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