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Simplifying 15x + 13y + 19z = 20x + 10y + 10z Solving 15x + 13y + 19z = 20x + 10y + 10z 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. 15x + 13y + -20x + 19z = 20x + 10y + -20x + 10z Reorder the terms: 15x + -20x + 13y + 19z = 20x + 10y + -20x + 10z Combine like terms: 15x + -20x = -5x -5x + 13y + 19z = 20x + 10y + -20x + 10z Reorder the terms: -5x + 13y + 19z = 20x + -20x + 10y + 10z Combine like terms: 20x + -20x = 0 -5x + 13y + 19z = 0 + 10y + 10z -5x + 13y + 19z = 10y + 10z Add '-13y' to each side of the equation. -5x + 13y + -13y + 19z = 10y + -13y + 10z Combine like terms: 13y + -13y = 0 -5x + 0 + 19z = 10y + -13y + 10z -5x + 19z = 10y + -13y + 10z Combine like terms: 10y + -13y = -3y -5x + 19z = -3y + 10z Add '-19z' to each side of the equation. -5x + 19z + -19z = -3y + 10z + -19z Combine like terms: 19z + -19z = 0 -5x + 0 = -3y + 10z + -19z -5x = -3y + 10z + -19z Combine like terms: 10z + -19z = -9z -5x = -3y + -9z Divide each side by '-5'. x = 0.6y + 1.8z Simplifying x = 0.6y + 1.8z
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