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Simplifying 7(x + 7) = 2x + -1 Reorder the terms: 7(7 + x) = 2x + -1 (7 * 7 + x * 7) = 2x + -1 (49 + 7x) = 2x + -1 Reorder the terms: 49 + 7x = -1 + 2x Solving 49 + 7x = -1 + 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 + 7x + -2x = -1 + 2x + -2x Combine like terms: 7x + -2x = 5x 49 + 5x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + 5x = -1 + 0 49 + 5x = -1 Add '-49' to each side of the equation. 49 + -49 + 5x = -1 + -49 Combine like terms: 49 + -49 = 0 0 + 5x = -1 + -49 5x = -1 + -49 Combine like terms: -1 + -49 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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