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Simplifying 10x + 27(x + -2) = 205 Reorder the terms: 10x + 27(-2 + x) = 205 10x + (-2 * 27 + x * 27) = 205 10x + (-54 + 27x) = 205 Reorder the terms: -54 + 10x + 27x = 205 Combine like terms: 10x + 27x = 37x -54 + 37x = 205 Solving -54 + 37x = 205 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 37x = 205 + 54 Combine like terms: -54 + 54 = 0 0 + 37x = 205 + 54 37x = 205 + 54 Combine like terms: 205 + 54 = 259 37x = 259 Divide each side by '37'. x = 7 Simplifying x = 7
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