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Simplifying 8x + 2Y + 7Z + -5X = 3Z + -3Y Reorder the terms: -5X + 2Y + 7Z + 8x = 3Z + -3Y Reorder the terms: -5X + 2Y + 7Z + 8x = -3Y + 3Z Solving -5X + 2Y + 7Z + 8x = -3Y + 3Z Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2Y' to each side of the equation. -5X + 2Y + 7Z + -2Y + 8x = -3Y + -2Y + 3Z Reorder the terms: -5X + 2Y + -2Y + 7Z + 8x = -3Y + -2Y + 3Z Combine like terms: 2Y + -2Y = 0 -5X + 0 + 7Z + 8x = -3Y + -2Y + 3Z -5X + 7Z + 8x = -3Y + -2Y + 3Z Combine like terms: -3Y + -2Y = -5Y -5X + 7Z + 8x = -5Y + 3Z Add '-7Z' to each side of the equation. -5X + 7Z + -7Z + 8x = -5Y + 3Z + -7Z Combine like terms: 7Z + -7Z = 0 -5X + 0 + 8x = -5Y + 3Z + -7Z -5X + 8x = -5Y + 3Z + -7Z Combine like terms: 3Z + -7Z = -4Z -5X + 8x = -5Y + -4Z Add '-8x' to each side of the equation. -5X + 8x + -8x = -5Y + -4Z + -8x Combine like terms: 8x + -8x = 0 -5X + 0 = -5Y + -4Z + -8x -5X = -5Y + -4Z + -8x Divide each side by '-5'. X = Y + 0.8Z + 1.6x Simplifying X = Y + 0.8Z + 1.6x
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