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Simplifying 1 + -7(x + 6) = -83 Reorder the terms: 1 + -7(6 + x) = -83 1 + (6 * -7 + x * -7) = -83 1 + (-42 + -7x) = -83 Combine like terms: 1 + -42 = -41 -41 + -7x = -83 Solving -41 + -7x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -7x = -83 + 41 Combine like terms: -41 + 41 = 0 0 + -7x = -83 + 41 -7x = -83 + 41 Combine like terms: -83 + 41 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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