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Simplifying 49 = 7(x + 1) Reorder the terms: 49 = 7(1 + x) 49 = (1 * 7 + x * 7) 49 = (7 + 7x) Solving 49 = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 49 + -7x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 49 + -7x = 7 + 0 49 + -7x = 7 Add '-49' to each side of the equation. 49 + -49 + -7x = 7 + -49 Combine like terms: 49 + -49 = 0 0 + -7x = 7 + -49 -7x = 7 + -49 Combine like terms: 7 + -49 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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