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Simplifying (7x + -5) + -1(3z + -2) = 0 Reorder the terms: (-5 + 7x) + -1(3z + -2) = 0 Remove parenthesis around (-5 + 7x) -5 + 7x + -1(3z + -2) = 0 Reorder the terms: -5 + 7x + -1(-2 + 3z) = 0 -5 + 7x + (-2 * -1 + 3z * -1) = 0 -5 + 7x + (2 + -3z) = 0 Reorder the terms: -5 + 2 + 7x + -3z = 0 Combine like terms: -5 + 2 = -3 -3 + 7x + -3z = 0 Solving -3 + 7x + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 7x + 3 + -3z = 0 + 3 Reorder the terms: -3 + 3 + 7x + -3z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7x + -3z = 0 + 3 7x + -3z = 0 + 3 Combine like terms: 0 + 3 = 3 7x + -3z = 3 Add '3z' to each side of the equation. 7x + -3z + 3z = 3 + 3z Combine like terms: -3z + 3z = 0 7x + 0 = 3 + 3z 7x = 3 + 3z Divide each side by '7'. x = 0.4285714286 + 0.4285714286z Simplifying x = 0.4285714286 + 0.4285714286z
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