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Simplifying 14x(4d + 2) = 140 Reorder the terms: 14x(2 + 4d) = 140 (2 * 14x + 4d * 14x) = 140 Reorder the terms: (56dx + 28x) = 140 (56dx + 28x) = 140 Solving 56dx + 28x = 140 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-28x' to each side of the equation. 56dx + 28x + -28x = 140 + -28x Combine like terms: 28x + -28x = 0 56dx + 0 = 140 + -28x 56dx = 140 + -28x Divide each side by '56x'. d = 2.5x-1 + -0.5 Simplifying d = 2.5x-1 + -0.5 Reorder the terms: d = -0.5 + 2.5x-1
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