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Simplifying -6x + -39 = -3(1 + 8x) Reorder the terms: -39 + -6x = -3(1 + 8x) -39 + -6x = (1 * -3 + 8x * -3) -39 + -6x = (-3 + -24x) Solving -39 + -6x = -3 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -39 + -6x + 24x = -3 + -24x + 24x Combine like terms: -6x + 24x = 18x -39 + 18x = -3 + -24x + 24x Combine like terms: -24x + 24x = 0 -39 + 18x = -3 + 0 -39 + 18x = -3 Add '39' to each side of the equation. -39 + 39 + 18x = -3 + 39 Combine like terms: -39 + 39 = 0 0 + 18x = -3 + 39 18x = -3 + 39 Combine like terms: -3 + 39 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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