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Simplifying 4x + 5(2x + 1z + -15) + 2z = 10 Reorder the terms: 4x + 5(-15 + 2x + 1z) + 2z = 10 4x + (-15 * 5 + 2x * 5 + 1z * 5) + 2z = 10 4x + (-75 + 10x + 5z) + 2z = 10 Reorder the terms: -75 + 4x + 10x + 5z + 2z = 10 Combine like terms: 4x + 10x = 14x -75 + 14x + 5z + 2z = 10 Combine like terms: 5z + 2z = 7z -75 + 14x + 7z = 10 Solving -75 + 14x + 7z = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 14x + 75 + 7z = 10 + 75 Reorder the terms: -75 + 75 + 14x + 7z = 10 + 75 Combine like terms: -75 + 75 = 0 0 + 14x + 7z = 10 + 75 14x + 7z = 10 + 75 Combine like terms: 10 + 75 = 85 14x + 7z = 85 Add '-7z' to each side of the equation. 14x + 7z + -7z = 85 + -7z Combine like terms: 7z + -7z = 0 14x + 0 = 85 + -7z 14x = 85 + -7z Divide each side by '14'. x = 6.071428571 + -0.5z Simplifying x = 6.071428571 + -0.5z
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