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Simplifying 7(x + 7) = 49 + -1x Reorder the terms: 7(7 + x) = 49 + -1x (7 * 7 + x * 7) = 49 + -1x (49 + 7x) = 49 + -1x Add '-49' to each side of the equation. 49 + -49 + 7x = 49 + -49 + -1x Combine like terms: 49 + -49 = 0 0 + 7x = 49 + -49 + -1x 7x = 49 + -49 + -1x Combine like terms: 49 + -49 = 0 7x = 0 + -1x 7x = -1x Solving 7x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7x + x = -1x + x Combine like terms: 7x + x = 8x 8x = -1x + x Combine like terms: -1x + x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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