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Simplifying 0.25x + 0.10(2y) + 0.05(3z) = 0 Remove parenthesis around (2y) 0.25x + 0.10 * 2y + 0.05(3z) = 0 Multiply 0.10 * 2 0.25x + 0.2y + 0.05(3z) = 0 Remove parenthesis around (3z) 0.25x + 0.2y + 0.05 * 3z = 0 Multiply 0.05 * 3 0.25x + 0.2y + 0.15z = 0 Solving 0.25x + 0.2y + 0.15z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2y' to each side of the equation. 0.25x + 0.2y + -0.2y + 0.15z = 0 + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 0.25x + 0.0 + 0.15z = 0 + -0.2y 0.25x + 0.15z = 0 + -0.2y Remove the zero: 0.25x + 0.15z = -0.2y Add '-0.15z' to each side of the equation. 0.25x + 0.15z + -0.15z = -0.2y + -0.15z Combine like terms: 0.15z + -0.15z = 0.00 0.25x + 0.00 = -0.2y + -0.15z 0.25x = -0.2y + -0.15z Divide each side by '0.25'. x = -0.8y + -0.6z Simplifying x = -0.8y + -0.6z
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