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Simplifying 5d * 2 + 2d + x * 2 = 5d * 2 + x * 2 Reorder the terms for easier multiplication: 5 * 2d + 2d + x * 2 = 5d * 2 + x * 2 Multiply 5 * 2 10d + 2d + x * 2 = 5d * 2 + x * 2 Reorder the terms for easier multiplication: 10d + 2d + 2x = 5d * 2 + x * 2 Combine like terms: 10d + 2d = 12d 12d + 2x = 5d * 2 + x * 2 Reorder the terms for easier multiplication: 12d + 2x = 5 * 2d + x * 2 Multiply 5 * 2 12d + 2x = 10d + x * 2 Reorder the terms for easier multiplication: 12d + 2x = 10d + 2x Add '-2x' to each side of the equation. 12d + 2x + -2x = 10d + 2x + -2x Combine like terms: 2x + -2x = 0 12d + 0 = 10d + 2x + -2x 12d = 10d + 2x + -2x Combine like terms: 2x + -2x = 0 12d = 10d + 0 12d = 10d Solving 12d = 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 12d + -10d = 10d + -10d Combine like terms: 12d + -10d = 2d 2d = 10d + -10d Combine like terms: 10d + -10d = 0 2d = 0 Divide each side by '2'. d = 0 Simplifying d = 0
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