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Simplifying (3x + -5y) + -1(-2x + -3y + -1z) + (y + -1z) = 0 Remove parenthesis around (3x + -5y) 3x + -5y + -1(-2x + -3y + -1z) + (y + -1z) = 0 3x + -5y + (-2x * -1 + -3y * -1 + -1z * -1) + (y + -1z) = 0 3x + -5y + (2x + 3y + 1z) + (y + -1z) = 0 Remove parenthesis around (y + -1z) 3x + -5y + 2x + 3y + 1z + y + -1z = 0 Reorder the terms: 3x + 2x + -5y + 3y + y + 1z + -1z = 0 Combine like terms: 3x + 2x = 5x 5x + -5y + 3y + y + 1z + -1z = 0 Combine like terms: -5y + 3y = -2y 5x + -2y + y + 1z + -1z = 0 Combine like terms: -2y + y = -1y 5x + -1y + 1z + -1z = 0 Combine like terms: 1z + -1z = 0 5x + -1y + 0 = 0 5x + -1y = 0 Solving 5x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 5x + -1y + y = 0 + y Combine like terms: -1y + y = 0 5x + 0 = 0 + y 5x = 0 + y Remove the zero: 5x = y Divide each side by '5'. x = 0.2y Simplifying x = 0.2y
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