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Simplifying 3.78 = 2x + 2.6y + 4.6z Solving 3.78 = 2x + 2.6y + 4.6z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3.78 + -2x = 2x + 2.6y + -2x + 4.6z Reorder the terms: 3.78 + -2x = 2x + -2x + 2.6y + 4.6z Combine like terms: 2x + -2x = 0 3.78 + -2x = 0 + 2.6y + 4.6z 3.78 + -2x = 2.6y + 4.6z Add '-3.78' to each side of the equation. 3.78 + -3.78 + -2x = 2.6y + -3.78 + 4.6z Combine like terms: 3.78 + -3.78 = 0.00 0.00 + -2x = 2.6y + -3.78 + 4.6z -2x = 2.6y + -3.78 + 4.6z Reorder the terms: -2x = -3.78 + 2.6y + 4.6z Divide each side by '-2'. x = 1.89 + -1.3y + -2.3z Simplifying x = 1.89 + -1.3y + -2.3z
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