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Simplifying 3z + -5(100 + -3x) = 400 3z + (100 * -5 + -3x * -5) = 400 3z + (-500 + 15x) = 400 Reorder the terms: -500 + 15x + 3z = 400 Solving -500 + 15x + 3z = 400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '500' to each side of the equation. -500 + 15x + 500 + 3z = 400 + 500 Reorder the terms: -500 + 500 + 15x + 3z = 400 + 500 Combine like terms: -500 + 500 = 0 0 + 15x + 3z = 400 + 500 15x + 3z = 400 + 500 Combine like terms: 400 + 500 = 900 15x + 3z = 900 Add '-3z' to each side of the equation. 15x + 3z + -3z = 900 + -3z Combine like terms: 3z + -3z = 0 15x + 0 = 900 + -3z 15x = 900 + -3z Divide each side by '15'. x = 60 + -0.2z Simplifying x = 60 + -0.2z
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