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Simplifying 7[3 + -1(x + 1)] = -42 Reorder the terms: 7[3 + -1(1 + x)] = -42 7[3 + (1 * -1 + x * -1)] = -42 7[3 + (-1 + -1x)] = -42 Combine like terms: 3 + -1 = 2 7[2 + -1x] = -42 [2 * 7 + -1x * 7] = -42 [14 + -7x] = -42 Solving 14 + -7x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -7x = -42 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -42 + -14 -7x = -42 + -14 Combine like terms: -42 + -14 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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