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Simplifying 3x + -1(5x + -1(x + 3)) = 8x + (-5x + -9) Reorder the terms: 3x + -1(5x + -1(3 + x)) = 8x + (-5x + -9) 3x + -1(5x + (3 * -1 + x * -1)) = 8x + (-5x + -9) 3x + -1(5x + (-3 + -1x)) = 8x + (-5x + -9) Reorder the terms: 3x + -1(-3 + 5x + -1x) = 8x + (-5x + -9) Combine like terms: 5x + -1x = 4x 3x + -1(-3 + 4x) = 8x + (-5x + -9) 3x + (-3 * -1 + 4x * -1) = 8x + (-5x + -9) 3x + (3 + -4x) = 8x + (-5x + -9) Reorder the terms: 3 + 3x + -4x = 8x + (-5x + -9) Combine like terms: 3x + -4x = -1x 3 + -1x = 8x + (-5x + -9) Reorder the terms: 3 + -1x = 8x + (-9 + -5x) Remove parenthesis around (-9 + -5x) 3 + -1x = 8x + -9 + -5x Reorder the terms: 3 + -1x = -9 + 8x + -5x Combine like terms: 8x + -5x = 3x 3 + -1x = -9 + 3x Solving 3 + -1x = -9 + 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. 3 + -1x + -3x = -9 + 3x + -3x Combine like terms: -1x + -3x = -4x 3 + -4x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -4x = -9 + 0 3 + -4x = -9 Add '-3' to each side of the equation. 3 + -3 + -4x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -9 + -3 -4x = -9 + -3 Combine like terms: -9 + -3 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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