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Simplifying 2z + -5 + 3x = -2 + -7x Reorder the terms: -5 + 3x + 2z = -2 + -7x Solving -5 + 3x + 2z = -2 + -7x 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. -5 + 3x + 7x + 2z = -2 + -7x + 7x Combine like terms: 3x + 7x = 10x -5 + 10x + 2z = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 10x + 2z = -2 + 0 -5 + 10x + 2z = -2 Add '5' to each side of the equation. -5 + 10x + 5 + 2z = -2 + 5 Reorder the terms: -5 + 5 + 10x + 2z = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 10x + 2z = -2 + 5 10x + 2z = -2 + 5 Combine like terms: -2 + 5 = 3 10x + 2z = 3 Add '-2z' to each side of the equation. 10x + 2z + -2z = 3 + -2z Combine like terms: 2z + -2z = 0 10x + 0 = 3 + -2z 10x = 3 + -2z Divide each side by '10'. x = 0.3 + -0.2z Simplifying x = 0.3 + -0.2z
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