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Simplifying 3x + 4y + -5z = 5x + -2z + 5 Reorder the terms: 3x + 4y + -5z = 5 + 5x + -2z Solving 3x + 4y + -5z = 5 + 5x + -2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3x + 4y + -5x + -5z = 5 + 5x + -5x + -2z Reorder the terms: 3x + -5x + 4y + -5z = 5 + 5x + -5x + -2z Combine like terms: 3x + -5x = -2x -2x + 4y + -5z = 5 + 5x + -5x + -2z Combine like terms: 5x + -5x = 0 -2x + 4y + -5z = 5 + 0 + -2z -2x + 4y + -5z = 5 + -2z Add '-4y' to each side of the equation. -2x + 4y + -4y + -5z = 5 + -4y + -2z Combine like terms: 4y + -4y = 0 -2x + 0 + -5z = 5 + -4y + -2z -2x + -5z = 5 + -4y + -2z Add '5z' to each side of the equation. -2x + -5z + 5z = 5 + -4y + -2z + 5z Combine like terms: -5z + 5z = 0 -2x + 0 = 5 + -4y + -2z + 5z -2x = 5 + -4y + -2z + 5z Combine like terms: -2z + 5z = 3z -2x = 5 + -4y + 3z Divide each side by '-2'. x = -2.5 + 2y + -1.5z Simplifying x = -2.5 + 2y + -1.5z
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