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Simplifying 5x + -2y + z = 2y + -3x + 8 Reorder the terms: 5x + -2y + z = 8 + -3x + 2y Solving 5x + -2y + z = 8 + -3x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5x + -2y + 3x + z = 8 + -3x + 3x + 2y Reorder the terms: 5x + 3x + -2y + z = 8 + -3x + 3x + 2y Combine like terms: 5x + 3x = 8x 8x + -2y + z = 8 + -3x + 3x + 2y Combine like terms: -3x + 3x = 0 8x + -2y + z = 8 + 0 + 2y 8x + -2y + z = 8 + 2y Add '2y' to each side of the equation. 8x + -2y + 2y + z = 8 + 2y + 2y Combine like terms: -2y + 2y = 0 8x + 0 + z = 8 + 2y + 2y 8x + z = 8 + 2y + 2y Combine like terms: 2y + 2y = 4y 8x + z = 8 + 4y Add '-1z' to each side of the equation. 8x + z + -1z = 8 + 4y + -1z Combine like terms: z + -1z = 0 8x + 0 = 8 + 4y + -1z 8x = 8 + 4y + -1z Divide each side by '8'. x = 1 + 0.5y + -0.125z Simplifying x = 1 + 0.5y + -0.125z
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