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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 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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