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Simplifying 9 + (9 + x) + (9 + 0.5(9 + x)) = 9 + (9 + x) + (9 + 0.5(9 + x)) Remove parenthesis around (9 + x) 9 + 9 + x + (9 + 0.5(9 + x)) = 9 + (9 + x) + (9 + 0.5(9 + x)) 9 + 9 + x + (9 + (9 * 0.5 + x * 0.5)) = 9 + (9 + x) + (9 + 0.5(9 + x)) 9 + 9 + x + (9 + (4.5 + 0.5x)) = 9 + (9 + x) + (9 + 0.5(9 + x)) Combine like terms: 9 + 4.5 = 13.5 9 + 9 + x + (13.5 + 0.5x) = 9 + (9 + x) + (9 + 0.5(9 + x)) Remove parenthesis around (13.5 + 0.5x) 9 + 9 + x + 13.5 + 0.5x = 9 + (9 + x) + (9 + 0.5(9 + x)) Reorder the terms: 9 + 9 + 13.5 + x + 0.5x = 9 + (9 + x) + (9 + 0.5(9 + x)) Combine like terms: 9 + 9 = 18 18 + 13.5 + x + 0.5x = 9 + (9 + x) + (9 + 0.5(9 + x)) Combine like terms: 18 + 13.5 = 31.5 31.5 + x + 0.5x = 9 + (9 + x) + (9 + 0.5(9 + x)) Combine like terms: x + 0.5x = 1.5x 31.5 + 1.5x = 9 + (9 + x) + (9 + 0.5(9 + x)) Remove parenthesis around (9 + x) 31.5 + 1.5x = 9 + 9 + x + (9 + 0.5(9 + x)) 31.5 + 1.5x = 9 + 9 + x + (9 + (9 * 0.5 + x * 0.5)) 31.5 + 1.5x = 9 + 9 + x + (9 + (4.5 + 0.5x)) Combine like terms: 9 + 4.5 = 13.5 31.5 + 1.5x = 9 + 9 + x + (13.5 + 0.5x) Remove parenthesis around (13.5 + 0.5x) 31.5 + 1.5x = 9 + 9 + x + 13.5 + 0.5x Reorder the terms: 31.5 + 1.5x = 9 + 9 + 13.5 + x + 0.5x Combine like terms: 9 + 9 = 18 31.5 + 1.5x = 18 + 13.5 + x + 0.5x Combine like terms: 18 + 13.5 = 31.5 31.5 + 1.5x = 31.5 + x + 0.5x Combine like terms: x + 0.5x = 1.5x 31.5 + 1.5x = 31.5 + 1.5x Add '-31.5' to each side of the equation. 31.5 + -31.5 + 1.5x = 31.5 + -31.5 + 1.5x Combine like terms: 31.5 + -31.5 = 0.0 0.0 + 1.5x = 31.5 + -31.5 + 1.5x 1.5x = 31.5 + -31.5 + 1.5x Combine like terms: 31.5 + -31.5 = 0.0 1.5x = 0.0 + 1.5x 1.5x = 1.5x Add '-1.5x' to each side of the equation. 1.5x + -1.5x = 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 0.0 = 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 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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