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Simplifying 4(d + 2x) + -5 = 3(3x + 7) (d * 4 + 2x * 4) + -5 = 3(3x + 7) (4d + 8x) + -5 = 3(3x + 7) Reorder the terms: -5 + 4d + 8x = 3(3x + 7) Reorder the terms: -5 + 4d + 8x = 3(7 + 3x) -5 + 4d + 8x = (7 * 3 + 3x * 3) -5 + 4d + 8x = (21 + 9x) Solving -5 + 4d + 8x = 21 + 9x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4d + 5 + 8x = 21 + 5 + 9x Reorder the terms: -5 + 5 + 4d + 8x = 21 + 5 + 9x Combine like terms: -5 + 5 = 0 0 + 4d + 8x = 21 + 5 + 9x 4d + 8x = 21 + 5 + 9x Combine like terms: 21 + 5 = 26 4d + 8x = 26 + 9x Add '-8x' to each side of the equation. 4d + 8x + -8x = 26 + 9x + -8x Combine like terms: 8x + -8x = 0 4d + 0 = 26 + 9x + -8x 4d = 26 + 9x + -8x Combine like terms: 9x + -8x = 1x 4d = 26 + 1x Divide each side by '4'. d = 6.5 + 0.25x Simplifying d = 6.5 + 0.25x
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