To find the x-intercept of the line given by the equation \(10x + 14y = -18\), we set \(y = 0\) and solve for \(x\).
Substituting \(y = 0\):
\[ 10x + 14(0) = -18 \]
This simplifies to:
\[ 10x = -18 \]
Now, divide both sides by 10 to solve for \(x\):
\[ x = \frac{-18}{10} = \frac{-9}{5} = -1.8 \]
Thus, the x-intercept of the line is \(\left(-\frac{9}{5}, 0\right)\) or \(-1.8\) on the x-axis.