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Simplifying 7[3 + -1(-7x + -1)] = 343x + 70 Reorder the terms: 7[3 + -1(-1 + -7x)] = 343x + 70 7[3 + (-1 * -1 + -7x * -1)] = 343x + 70 7[3 + (1 + 7x)] = 343x + 70 Combine like terms: 3 + 1 = 4 7[4 + 7x] = 343x + 70 [4 * 7 + 7x * 7] = 343x + 70 [28 + 49x] = 343x + 70 Reorder the terms: 28 + 49x = 70 + 343x Solving 28 + 49x = 70 + 343x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-343x' to each side of the equation. 28 + 49x + -343x = 70 + 343x + -343x Combine like terms: 49x + -343x = -294x 28 + -294x = 70 + 343x + -343x Combine like terms: 343x + -343x = 0 28 + -294x = 70 + 0 28 + -294x = 70 Add '-28' to each side of the equation. 28 + -28 + -294x = 70 + -28 Combine like terms: 28 + -28 = 0 0 + -294x = 70 + -28 -294x = 70 + -28 Combine like terms: 70 + -28 = 42 -294x = 42 Divide each side by '-294'. x = -0.1428571429 Simplifying x = -0.1428571429
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