Simplify the algebraic expression by combining like (or similar) terms. \[ -0.1 x+0.1 y-0.5 x \]

To simplify the expression \(-0.1 x + 0.1 y - 0.5 x\), start by combining the like terms involving \(x\). First, add \(-0.1 x\) and \(-0.5 x\), which gives you: \[ (-0.1 - 0.5)x = -0.6 x \] Now, bring back the term with \(y\): \[ -0.6 x + 0.1 y \] So, the simplified expression is: \[ -0.6 x + 0.1 y \]