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Simplifying 0.5(x + -10) = x + -0.5x + -5 Reorder the terms: 0.5(-10 + x) = x + -0.5x + -5 (-10 * 0.5 + x * 0.5) = x + -0.5x + -5 (-5 + 0.5x) = x + -0.5x + -5 Reorder the terms: -5 + 0.5x = -5 + x + -0.5x Combine like terms: x + -0.5x = 0.5x -5 + 0.5x = -5 + 0.5x Add '5' to each side of the equation. -5 + 5 + 0.5x = -5 + 5 + 0.5x Combine like terms: -5 + 5 = 0 0 + 0.5x = -5 + 5 + 0.5x 0.5x = -5 + 5 + 0.5x Combine like terms: -5 + 5 = 0 0.5x = 0 + 0.5x 0.5x = 0.5x Add '-0.5x' to each side of the equation. 0.5x + -0.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.0 = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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