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Simplifying 10x + 21(x + -2) = 206 Reorder the terms: 10x + 21(-2 + x) = 206 10x + (-2 * 21 + x * 21) = 206 10x + (-42 + 21x) = 206 Reorder the terms: -42 + 10x + 21x = 206 Combine like terms: 10x + 21x = 31x -42 + 31x = 206 Solving -42 + 31x = 206 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 31x = 206 + 42 Combine like terms: -42 + 42 = 0 0 + 31x = 206 + 42 31x = 206 + 42 Combine like terms: 206 + 42 = 248 31x = 248 Divide each side by '31'. x = 8 Simplifying x = 8
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