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Simplifying 0.60(z + -300) + 0.05x = 0.70z + -205 Reorder the terms: 0.60(-300 + z) + 0.05x = 0.70z + -205 (-300 * 0.60 + z * 0.60) + 0.05x = 0.70z + -205 (-180 + 0.60z) + 0.05x = 0.70z + -205 Reorder the terms: -180 + 0.05x + 0.60z = 0.70z + -205 Reorder the terms: -180 + 0.05x + 0.60z = -205 + 0.70z Solving -180 + 0.05x + 0.60z = -205 + 0.70z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '180' to each side of the equation. -180 + 0.05x + 180 + 0.60z = -205 + 180 + 0.70z Reorder the terms: -180 + 180 + 0.05x + 0.60z = -205 + 180 + 0.70z Combine like terms: -180 + 180 = 0 0 + 0.05x + 0.60z = -205 + 180 + 0.70z 0.05x + 0.60z = -205 + 180 + 0.70z Combine like terms: -205 + 180 = -25 0.05x + 0.60z = -25 + 0.70z Add '-0.60z' to each side of the equation. 0.05x + 0.60z + -0.60z = -25 + 0.70z + -0.60z Combine like terms: 0.60z + -0.60z = 0.00 0.05x + 0.00 = -25 + 0.70z + -0.60z 0.05x = -25 + 0.70z + -0.60z Combine like terms: 0.70z + -0.60z = 0.1z 0.05x = -25 + 0.1z Divide each side by '0.05'. x = -500 + 2z Simplifying x = -500 + 2z
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