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Simplifying -6 = (x + -5) + -3(5 + 2x) + -4(2x + -4) Reorder the terms: -6 = (-5 + x) + -3(5 + 2x) + -4(2x + -4) Remove parenthesis around (-5 + x) -6 = -5 + x + -3(5 + 2x) + -4(2x + -4) -6 = -5 + x + (5 * -3 + 2x * -3) + -4(2x + -4) -6 = -5 + x + (-15 + -6x) + -4(2x + -4) Reorder the terms: -6 = -5 + x + -15 + -6x + -4(-4 + 2x) -6 = -5 + x + -15 + -6x + (-4 * -4 + 2x * -4) -6 = -5 + x + -15 + -6x + (16 + -8x) Reorder the terms: -6 = -5 + -15 + 16 + x + -6x + -8x Combine like terms: -5 + -15 = -20 -6 = -20 + 16 + x + -6x + -8x Combine like terms: -20 + 16 = -4 -6 = -4 + x + -6x + -8x Combine like terms: x + -6x = -5x -6 = -4 + -5x + -8x Combine like terms: -5x + -8x = -13x -6 = -4 + -13x Solving -6 = -4 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -6 + 13x = -4 + -13x + 13x Combine like terms: -13x + 13x = 0 -6 + 13x = -4 + 0 -6 + 13x = -4 Add '6' to each side of the equation. -6 + 6 + 13x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = -4 + 6 13x = -4 + 6 Combine like terms: -4 + 6 = 2 13x = 2 Divide each side by '13'. x = 0.1538461538 Simplifying x = 0.1538461538
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