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Simplifying 5(3 + -1x) + 2(2d + -3) = 14 (3 * 5 + -1x * 5) + 2(2d + -3) = 14 (15 + -5x) + 2(2d + -3) = 14 Reorder the terms: 15 + -5x + 2(-3 + 2d) = 14 15 + -5x + (-3 * 2 + 2d * 2) = 14 15 + -5x + (-6 + 4d) = 14 Reorder the terms: 15 + -6 + 4d + -5x = 14 Combine like terms: 15 + -6 = 9 9 + 4d + -5x = 14 Solving 9 + 4d + -5x = 14 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4d + -9 + -5x = 14 + -9 Reorder the terms: 9 + -9 + 4d + -5x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 4d + -5x = 14 + -9 4d + -5x = 14 + -9 Combine like terms: 14 + -9 = 5 4d + -5x = 5 Add '5x' to each side of the equation. 4d + -5x + 5x = 5 + 5x Combine like terms: -5x + 5x = 0 4d + 0 = 5 + 5x 4d = 5 + 5x Divide each side by '4'. d = 1.25 + 1.25x Simplifying d = 1.25 + 1.25x
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