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Simplifying 10x + 21(x + -4) = 257 Reorder the terms: 10x + 21(-4 + x) = 257 10x + (-4 * 21 + x * 21) = 257 10x + (-84 + 21x) = 257 Reorder the terms: -84 + 10x + 21x = 257 Combine like terms: 10x + 21x = 31x -84 + 31x = 257 Solving -84 + 31x = 257 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 31x = 257 + 84 Combine like terms: -84 + 84 = 0 0 + 31x = 257 + 84 31x = 257 + 84 Combine like terms: 257 + 84 = 341 31x = 341 Divide each side by '31'. x = 11 Simplifying x = 11
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