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Simplifying -5x + -39 = 4(2x + -5) + -6 Reorder the terms: -39 + -5x = 4(2x + -5) + -6 Reorder the terms: -39 + -5x = 4(-5 + 2x) + -6 -39 + -5x = (-5 * 4 + 2x * 4) + -6 -39 + -5x = (-20 + 8x) + -6 Reorder the terms: -39 + -5x = -20 + -6 + 8x Combine like terms: -20 + -6 = -26 -39 + -5x = -26 + 8x Solving -39 + -5x = -26 + 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. -39 + -5x + -8x = -26 + 8x + -8x Combine like terms: -5x + -8x = -13x -39 + -13x = -26 + 8x + -8x Combine like terms: 8x + -8x = 0 -39 + -13x = -26 + 0 -39 + -13x = -26 Add '39' to each side of the equation. -39 + 39 + -13x = -26 + 39 Combine like terms: -39 + 39 = 0 0 + -13x = -26 + 39 -13x = -26 + 39 Combine like terms: -26 + 39 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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