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Simplifying 3x + 7 = 4 + -1(7z + 9) Reorder the terms: 7 + 3x = 4 + -1(7z + 9) Reorder the terms: 7 + 3x = 4 + -1(9 + 7z) 7 + 3x = 4 + (9 * -1 + 7z * -1) 7 + 3x = 4 + (-9 + -7z) Combine like terms: 4 + -9 = -5 7 + 3x = -5 + -7z Solving 7 + 3x = -5 + -7z 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 + -7 + 3x = -5 + -7 + -7z Combine like terms: 7 + -7 = 0 0 + 3x = -5 + -7 + -7z 3x = -5 + -7 + -7z Combine like terms: -5 + -7 = -12 3x = -12 + -7z Divide each side by '3'. x = -4 + -2.333333333z Simplifying x = -4 + -2.333333333z
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