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Simplifying 7x + -39 = -2(x + -6) Reorder the terms: -39 + 7x = -2(x + -6) Reorder the terms: -39 + 7x = -2(-6 + x) -39 + 7x = (-6 * -2 + x * -2) -39 + 7x = (12 + -2x) Solving -39 + 7x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -39 + 7x + 2x = 12 + -2x + 2x Combine like terms: 7x + 2x = 9x -39 + 9x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -39 + 9x = 12 + 0 -39 + 9x = 12 Add '39' to each side of the equation. -39 + 39 + 9x = 12 + 39 Combine like terms: -39 + 39 = 0 0 + 9x = 12 + 39 9x = 12 + 39 Combine like terms: 12 + 39 = 51 9x = 51 Divide each side by '9'. x = 5.666666667 Simplifying x = 5.666666667
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