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Simplifying 267 = 3 + 8(1 + -4x) 267 = 3 + (1 * 8 + -4x * 8) 267 = 3 + (8 + -32x) Combine like terms: 3 + 8 = 11 267 = 11 + -32x Solving 267 = 11 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 267 + 32x = 11 + -32x + 32x Combine like terms: -32x + 32x = 0 267 + 32x = 11 + 0 267 + 32x = 11 Add '-267' to each side of the equation. 267 + -267 + 32x = 11 + -267 Combine like terms: 267 + -267 = 0 0 + 32x = 11 + -267 32x = 11 + -267 Combine like terms: 11 + -267 = -256 32x = -256 Divide each side by '32'. x = -8 Simplifying x = -8
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