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Simplifying 8x + (-5x + -9) = 3x + (-5x + -1(x + 3)) Reorder the terms: 8x + (-9 + -5x) = 3x + (-5x + -1(x + 3)) Remove parenthesis around (-9 + -5x) 8x + -9 + -5x = 3x + (-5x + -1(x + 3)) Reorder the terms: -9 + 8x + -5x = 3x + (-5x + -1(x + 3)) Combine like terms: 8x + -5x = 3x -9 + 3x = 3x + (-5x + -1(x + 3)) Reorder the terms: -9 + 3x = 3x + (-5x + -1(3 + x)) -9 + 3x = 3x + (-5x + (3 * -1 + x * -1)) -9 + 3x = 3x + (-5x + (-3 + -1x)) Reorder the terms: -9 + 3x = 3x + (-3 + -5x + -1x) Combine like terms: -5x + -1x = -6x -9 + 3x = 3x + (-3 + -6x) Remove parenthesis around (-3 + -6x) -9 + 3x = 3x + -3 + -6x Reorder the terms: -9 + 3x = -3 + 3x + -6x Combine like terms: 3x + -6x = -3x -9 + 3x = -3 + -3x Solving -9 + 3x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + 3x + 3x = -3 + -3x + 3x Combine like terms: 3x + 3x = 6x -9 + 6x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 6x = -3 + 0 -9 + 6x = -3 Add '9' to each side of the equation. -9 + 9 + 6x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = -3 + 9 6x = -3 + 9 Combine like terms: -3 + 9 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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