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Simplifying 0.5x + 6 = 10 + 0.5(x + -8) Reorder the terms: 6 + 0.5x = 10 + 0.5(x + -8) Reorder the terms: 6 + 0.5x = 10 + 0.5(-8 + x) 6 + 0.5x = 10 + (-8 * 0.5 + x * 0.5) 6 + 0.5x = 10 + (-4 + 0.5x) Combine like terms: 10 + -4 = 6 6 + 0.5x = 6 + 0.5x Add '-6' to each side of the equation. 6 + -6 + 0.5x = 6 + -6 + 0.5x Combine like terms: 6 + -6 = 0 0 + 0.5x = 6 + -6 + 0.5x 0.5x = 6 + -6 + 0.5x Combine like terms: 6 + -6 = 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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