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Simplifying 32 = 8(x + 1) Reorder the terms: 32 = 8(1 + x) 32 = (1 * 8 + x * 8) 32 = (8 + 8x) Solving 32 = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 32 + -8x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -8x = 8 + 0 32 + -8x = 8 Add '-32' to each side of the equation. 32 + -32 + -8x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 8 + -32 -8x = 8 + -32 Combine like terms: 8 + -32 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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