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Simplifying 9 + [4z + -1(7 + -5x)] = 0 9 + [4z + (7 * -1 + -5x * -1)] = 0 9 + [4z + (-7 + 5x)] = 0 Reorder the terms: 9 + [-7 + 5x + 4z] = 0 Remove brackets around [-7 + 5x + 4z] 9 + -7 + 5x + 4z = 0 Combine like terms: 9 + -7 = 2 2 + 5x + 4z = 0 Solving 2 + 5x + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5x + -2 + 4z = 0 + -2 Reorder the terms: 2 + -2 + 5x + 4z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x + 4z = 0 + -2 5x + 4z = 0 + -2 Combine like terms: 0 + -2 = -2 5x + 4z = -2 Add '-4z' to each side of the equation. 5x + 4z + -4z = -2 + -4z Combine like terms: 4z + -4z = 0 5x + 0 = -2 + -4z 5x = -2 + -4z Divide each side by '5'. x = -0.4 + -0.8z Simplifying x = -0.4 + -0.8z
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