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Simplifying -2x + y + 3z = 20 + 3x + -27 + 3z + -9 Reorder the terms: -2x + y + 3z = 20 + -27 + -9 + 3x + 3z Combine like terms: 20 + -27 = -7 -2x + y + 3z = -7 + -9 + 3x + 3z Combine like terms: -7 + -9 = -16 -2x + y + 3z = -16 + 3x + 3z Add '-3z' to each side of the equation. -2x + y + 3z + -3z = -16 + 3x + 3z + -3z Combine like terms: 3z + -3z = 0 -2x + y + 0 = -16 + 3x + 3z + -3z -2x + y = -16 + 3x + 3z + -3z Combine like terms: 3z + -3z = 0 -2x + y = -16 + 3x + 0 -2x + y = -16 + 3x Solving -2x + y = -16 + 3x 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. -2x + -3x + y = -16 + 3x + -3x Combine like terms: -2x + -3x = -5x -5x + y = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 -5x + y = -16 + 0 -5x + y = -16 Add '-1y' to each side of the equation. -5x + y + -1y = -16 + -1y Combine like terms: y + -1y = 0 -5x + 0 = -16 + -1y -5x = -16 + -1y Divide each side by '-5'. x = 3.2 + 0.2y Simplifying x = 3.2 + 0.2y
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