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Simplifying 5(x + -2) + -8xd = -34 Reorder the terms: 5(-2 + x) + -8xd = -34 (-2 * 5 + x * 5) + -8xd = -34 (-10 + 5x) + -8xd = -34 Reorder the terms: -10 + -8dx + 5x = -34 Solving -10 + -8dx + 5x = -34 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -8dx + 10 + 5x = -34 + 10 Reorder the terms: -10 + 10 + -8dx + 5x = -34 + 10 Combine like terms: -10 + 10 = 0 0 + -8dx + 5x = -34 + 10 -8dx + 5x = -34 + 10 Combine like terms: -34 + 10 = -24 -8dx + 5x = -24 Add '-5x' to each side of the equation. -8dx + 5x + -5x = -24 + -5x Combine like terms: 5x + -5x = 0 -8dx + 0 = -24 + -5x -8dx = -24 + -5x Divide each side by '-8x'. d = 3x-1 + 0.625 Simplifying d = 3x-1 + 0.625 Reorder the terms: d = 0.625 + 3x-1
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