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Simplifying 3x + [-5x + -1(-1x + 3)] = 8x + (-5x + -9) Reorder the terms: 3x + [-5x + -1(3 + -1x)] = 8x + (-5x + -9) 3x + [-5x + (3 * -1 + -1x * -1)] = 8x + (-5x + -9) 3x + [-5x + (-3 + 1x)] = 8x + (-5x + -9) Reorder the terms: 3x + [-3 + -5x + 1x] = 8x + (-5x + -9) Combine like terms: -5x + 1x = -4x 3x + [-3 + -4x] = 8x + (-5x + -9) Remove brackets around [-3 + -4x] 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 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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