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Simplifying 32 = 0.5(3 + x) * 8 Reorder the terms for easier multiplication: 32 = 0.5 * 8(3 + x) Multiply 0.5 * 8 32 = 4(3 + x) 32 = (3 * 4 + x * 4) 32 = (12 + 4x) Solving 32 = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 32 + -4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + -4x = 12 + 0 32 + -4x = 12 Add '-32' to each side of the equation. 32 + -32 + -4x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 12 + -32 -4x = 12 + -32 Combine like terms: 12 + -32 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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