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Simplifying 5x + 5y + -3(5x + -3y + 8z) = 0 5x + 5y + (5x * -3 + -3y * -3 + 8z * -3) = 0 5x + 5y + (-15x + 9y + -24z) = 0 Reorder the terms: 5x + -15x + 5y + 9y + -24z = 0 Combine like terms: 5x + -15x = -10x -10x + 5y + 9y + -24z = 0 Combine like terms: 5y + 9y = 14y -10x + 14y + -24z = 0 Solving -10x + 14y + -24z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. -10x + 14y + -14y + -24z = 0 + -14y Combine like terms: 14y + -14y = 0 -10x + 0 + -24z = 0 + -14y -10x + -24z = 0 + -14y Remove the zero: -10x + -24z = -14y Add '24z' to each side of the equation. -10x + -24z + 24z = -14y + 24z Combine like terms: -24z + 24z = 0 -10x + 0 = -14y + 24z -10x = -14y + 24z Divide each side by '-10'. x = 1.4y + -2.4z Simplifying x = 1.4y + -2.4z
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