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Simplifying -6x + -39 = -7 + -4(5 + 3x) Reorder the terms: -39 + -6x = -7 + -4(5 + 3x) -39 + -6x = -7 + (5 * -4 + 3x * -4) -39 + -6x = -7 + (-20 + -12x) Combine like terms: -7 + -20 = -27 -39 + -6x = -27 + -12x Solving -39 + -6x = -27 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -39 + -6x + 12x = -27 + -12x + 12x Combine like terms: -6x + 12x = 6x -39 + 6x = -27 + -12x + 12x Combine like terms: -12x + 12x = 0 -39 + 6x = -27 + 0 -39 + 6x = -27 Add '39' to each side of the equation. -39 + 39 + 6x = -27 + 39 Combine like terms: -39 + 39 = 0 0 + 6x = -27 + 39 6x = -27 + 39 Combine like terms: -27 + 39 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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