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