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Simplifying 12x(t + 17) = 384 Reorder the terms: 12x(17 + t) = 384 (17 * 12x + t * 12x) = 384 Reorder the terms: (12tx + 204x) = 384 (12tx + 204x) = 384 Solving 12tx + 204x = 384 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-204x' to each side of the equation. 12tx + 204x + -204x = 384 + -204x Combine like terms: 204x + -204x = 0 12tx + 0 = 384 + -204x 12tx = 384 + -204x Divide each side by '12x'. t = 32x-1 + -17 Simplifying t = 32x-1 + -17 Reorder the terms: t = -17 + 32x-1
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