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Simplifying 3x + [-5x + -1(x + 3)] = 8x + (-5 + -9) Reorder the terms: 3x + [-5x + -1(3 + x)] = 8x + (-5 + -9) 3x + [-5x + (3 * -1 + x * -1)] = 8x + (-5 + -9) 3x + [-5x + (-3 + -1x)] = 8x + (-5 + -9) Reorder the terms: 3x + [-3 + -5x + -1x] = 8x + (-5 + -9) Combine like terms: -5x + -1x = -6x 3x + [-3 + -6x] = 8x + (-5 + -9) Remove brackets around [-3 + -6x] 3x + -3 + -6x = 8x + (-5 + -9) Reorder the terms: -3 + 3x + -6x = 8x + (-5 + -9) Combine like terms: 3x + -6x = -3x -3 + -3x = 8x + (-5 + -9) Combine like terms: -5 + -9 = -14 -3 + -3x = 8x + (-14) -3 + -3x = 8x + -14 Reorder the terms: -3 + -3x = -14 + 8x Solving -3 + -3x = -14 + 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. -3 + -3x + -8x = -14 + 8x + -8x Combine like terms: -3x + -8x = -11x -3 + -11x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -11x = -14 + 0 -3 + -11x = -14 Add '3' to each side of the equation. -3 + 3 + -11x = -14 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = -14 + 3 -11x = -14 + 3 Combine like terms: -14 + 3 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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