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Simplifying (4x + -7z) + -1(3x + -4z) = 0 Remove parenthesis around (4x + -7z) 4x + -7z + -1(3x + -4z) = 0 4x + -7z + (3x * -1 + -4z * -1) = 0 4x + -7z + (-3x + 4z) = 0 Reorder the terms: 4x + -3x + -7z + 4z = 0 Combine like terms: 4x + -3x = 1x 1x + -7z + 4z = 0 Combine like terms: -7z + 4z = -3z 1x + -3z = 0 Solving 1x + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3z' to each side of the equation. 1x + -3z + 3z = 0 + 3z Combine like terms: -3z + 3z = 0 1x + 0 = 0 + 3z 1x = 0 + 3z Remove the zero: 1x = 3z Divide each side by '1'. x = 3z Simplifying x = 3z
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