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Simplifying 7(x + 7) + -3x = 39 + 2x Reorder the terms: 7(7 + x) + -3x = 39 + 2x (7 * 7 + x * 7) + -3x = 39 + 2x (49 + 7x) + -3x = 39 + 2x Combine like terms: 7x + -3x = 4x 49 + 4x = 39 + 2x Solving 49 + 4x = 39 + 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. 49 + 4x + -2x = 39 + 2x + -2x Combine like terms: 4x + -2x = 2x 49 + 2x = 39 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + 2x = 39 + 0 49 + 2x = 39 Add '-49' to each side of the equation. 49 + -49 + 2x = 39 + -49 Combine like terms: 49 + -49 = 0 0 + 2x = 39 + -49 2x = 39 + -49 Combine like terms: 39 + -49 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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