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