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Simplifying 39 = 5(x + 7) + -7x Reorder the terms: 39 = 5(7 + x) + -7x 39 = (7 * 5 + x * 5) + -7x 39 = (35 + 5x) + -7x Combine like terms: 5x + -7x = -2x 39 = 35 + -2x Solving 39 = 35 + -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 + 2x = 35 + -2x + 2x Combine like terms: -2x + 2x = 0 39 + 2x = 35 + 0 39 + 2x = 35 Add '-39' to each side of the equation. 39 + -39 + 2x = 35 + -39 Combine like terms: 39 + -39 = 0 0 + 2x = 35 + -39 2x = 35 + -39 Combine like terms: 35 + -39 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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