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Simplifying 32 = 8(x + 6.5) Reorder the terms: 32 = 8(6.5 + x) 32 = (6.5 * 8 + x * 8) 32 = (52 + 8x) Solving 32 = 52 + 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 = 52 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -8x = 52 + 0 32 + -8x = 52 Add '-32' to each side of the equation. 32 + -32 + -8x = 52 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 52 + -32 -8x = 52 + -32 Combine like terms: 52 + -32 = 20 -8x = 20 Divide each side by '-8'. x = -2.5 Simplifying x = -2.5
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