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Simplifying 3x + -39 = -6(-1 + -8x) Reorder the terms: -39 + 3x = -6(-1 + -8x) -39 + 3x = (-1 * -6 + -8x * -6) -39 + 3x = (6 + 48x) Solving -39 + 3x = 6 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -39 + 3x + -48x = 6 + 48x + -48x Combine like terms: 3x + -48x = -45x -39 + -45x = 6 + 48x + -48x Combine like terms: 48x + -48x = 0 -39 + -45x = 6 + 0 -39 + -45x = 6 Add '39' to each side of the equation. -39 + 39 + -45x = 6 + 39 Combine like terms: -39 + 39 = 0 0 + -45x = 6 + 39 -45x = 6 + 39 Combine like terms: 6 + 39 = 45 -45x = 45 Divide each side by '-45'. x = -1 Simplifying x = -1
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