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Simplifying 49x = 7(x + 6) Reorder the terms: 49x = 7(6 + x) 49x = (6 * 7 + x * 7) 49x = (42 + 7x) Solving 49x = 42 + 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. 49x + -7x = 42 + 7x + -7x Combine like terms: 49x + -7x = 42x 42x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 42x = 42 + 0 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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