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Simplifying 3x + -39 = 3(1 + -6x) Reorder the terms: -39 + 3x = 3(1 + -6x) -39 + 3x = (1 * 3 + -6x * 3) -39 + 3x = (3 + -18x) Solving -39 + 3x = 3 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -39 + 3x + 18x = 3 + -18x + 18x Combine like terms: 3x + 18x = 21x -39 + 21x = 3 + -18x + 18x Combine like terms: -18x + 18x = 0 -39 + 21x = 3 + 0 -39 + 21x = 3 Add '39' to each side of the equation. -39 + 39 + 21x = 3 + 39 Combine like terms: -39 + 39 = 0 0 + 21x = 3 + 39 21x = 3 + 39 Combine like terms: 3 + 39 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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