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Simplifying 233 = 1 + 8(4x + 1) Reorder the terms: 233 = 1 + 8(1 + 4x) 233 = 1 + (1 * 8 + 4x * 8) 233 = 1 + (8 + 32x) Combine like terms: 1 + 8 = 9 233 = 9 + 32x Solving 233 = 9 + 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. 233 + -32x = 9 + 32x + -32x Combine like terms: 32x + -32x = 0 233 + -32x = 9 + 0 233 + -32x = 9 Add '-233' to each side of the equation. 233 + -233 + -32x = 9 + -233 Combine like terms: 233 + -233 = 0 0 + -32x = 9 + -233 -32x = 9 + -233 Combine like terms: 9 + -233 = -224 -32x = -224 Divide each side by '-32'. x = 7 Simplifying x = 7
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