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Simplifying -7z + 3x = -7x + -6 + -3z Reorder the terms: 3x + -7z = -7x + -6 + -3z Reorder the terms: 3x + -7z = -6 + -7x + -3z Solving 3x + -7z = -6 + -7x + -3z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3x + 7x + -7z = -6 + -7x + 7x + -3z Combine like terms: 3x + 7x = 10x 10x + -7z = -6 + -7x + 7x + -3z Combine like terms: -7x + 7x = 0 10x + -7z = -6 + 0 + -3z 10x + -7z = -6 + -3z Add '7z' to each side of the equation. 10x + -7z + 7z = -6 + -3z + 7z Combine like terms: -7z + 7z = 0 10x + 0 = -6 + -3z + 7z 10x = -6 + -3z + 7z Combine like terms: -3z + 7z = 4z 10x = -6 + 4z Divide each side by '10'. x = -0.6 + 0.4z Simplifying x = -0.6 + 0.4z
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