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Simplifying 7(x + 3z + 1) = 0 Reorder the terms: 7(1 + x + 3z) = 0 (1 * 7 + x * 7 + 3z * 7) = 0 (7 + 7x + 21z) = 0 Solving 7 + 7x + 21z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 7x + -7 + 21z = 0 + -7 Reorder the terms: 7 + -7 + 7x + 21z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7x + 21z = 0 + -7 7x + 21z = 0 + -7 Combine like terms: 0 + -7 = -7 7x + 21z = -7 Add '-21z' to each side of the equation. 7x + 21z + -21z = -7 + -21z Combine like terms: 21z + -21z = 0 7x + 0 = -7 + -21z 7x = -7 + -21z Divide each side by '7'. x = -1 + -3z Simplifying x = -1 + -3z
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