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Simplifying 7(7x + 4) + 1 = 78 Reorder the terms: 7(4 + 7x) + 1 = 78 (4 * 7 + 7x * 7) + 1 = 78 (28 + 49x) + 1 = 78 Reorder the terms: 28 + 1 + 49x = 78 Combine like terms: 28 + 1 = 29 29 + 49x = 78 Solving 29 + 49x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 49x = 78 + -29 Combine like terms: 29 + -29 = 0 0 + 49x = 78 + -29 49x = 78 + -29 Combine like terms: 78 + -29 = 49 49x = 49 Divide each side by '49'. x = 1 Simplifying x = 1
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