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Simplifying 10x + 2z = 30x + 3y + 10 Reorder the terms: 10x + 2z = 10 + 30x + 3y Solving 10x + 2z = 10 + 30x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 10x + -30x + 2z = 10 + 30x + -30x + 3y Combine like terms: 10x + -30x = -20x -20x + 2z = 10 + 30x + -30x + 3y Combine like terms: 30x + -30x = 0 -20x + 2z = 10 + 0 + 3y -20x + 2z = 10 + 3y Add '-2z' to each side of the equation. -20x + 2z + -2z = 10 + 3y + -2z Combine like terms: 2z + -2z = 0 -20x + 0 = 10 + 3y + -2z -20x = 10 + 3y + -2z Divide each side by '-20'. x = -0.5 + -0.15y + 0.1z Simplifying x = -0.5 + -0.15y + 0.1z
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