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Simplifying 10x + 10y + -1z = 20x + 20y + -1z Add 'z' to each side of the equation. 10x + 10y + -1z + z = 20x + 20y + -1z + z Combine like terms: -1z + z = 0 10x + 10y + 0 = 20x + 20y + -1z + z 10x + 10y = 20x + 20y + -1z + z Combine like terms: -1z + z = 0 10x + 10y = 20x + 20y + 0 10x + 10y = 20x + 20y Solving 10x + 10y = 20x + 20y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 10x + -20x + 10y = 20x + -20x + 20y Combine like terms: 10x + -20x = -10x -10x + 10y = 20x + -20x + 20y Combine like terms: 20x + -20x = 0 -10x + 10y = 0 + 20y -10x + 10y = 20y Add '-10y' to each side of the equation. -10x + 10y + -10y = 20y + -10y Combine like terms: 10y + -10y = 0 -10x + 0 = 20y + -10y -10x = 20y + -10y Combine like terms: 20y + -10y = 10y -10x = 10y Divide each side by '-10'. x = -1y Simplifying x = -1y
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