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Simplifying 6x + -39 = -7(1 + -2x) Reorder the terms: -39 + 6x = -7(1 + -2x) -39 + 6x = (1 * -7 + -2x * -7) -39 + 6x = (-7 + 14x) Solving -39 + 6x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -39 + 6x + -14x = -7 + 14x + -14x Combine like terms: 6x + -14x = -8x -39 + -8x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -39 + -8x = -7 + 0 -39 + -8x = -7 Add '39' to each side of the equation. -39 + 39 + -8x = -7 + 39 Combine like terms: -39 + 39 = 0 0 + -8x = -7 + 39 -8x = -7 + 39 Combine like terms: -7 + 39 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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