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Simplifying 5 = (10 + -1x) + 0.5(x + -1(10 + -1x)) Remove parenthesis around (10 + -1x) 5 = 10 + -1x + 0.5(x + -1(10 + -1x)) 5 = 10 + -1x + 0.5(x + (10 * -1 + -1x * -1)) 5 = 10 + -1x + 0.5(x + (-10 + 1x)) Reorder the terms: 5 = 10 + -1x + 0.5(-10 + x + 1x) Combine like terms: x + 1x = 2x 5 = 10 + -1x + 0.5(-10 + 2x) 5 = 10 + -1x + (-10 * 0.5 + 2x * 0.5) 5 = 10 + -1x + (-5 + 1x) Reorder the terms: 5 = 10 + -5 + -1x + 1x Combine like terms: 10 + -5 = 5 5 = 5 + -1x + 1x Combine like terms: -1x + 1x = 0 5 = 5 + 0 5 = 5 Add '-5' to each side of the equation. 5 + -5 = 5 + -5 Combine like terms: 5 + -5 = 0 0 = 5 + -5 Combine like terms: 5 + -5 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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