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Simplifying d + -2(x + -3) = 5 + -1(x + 7) Reorder the terms: d + -2(-3 + x) = 5 + -1(x + 7) d + (-3 * -2 + x * -2) = 5 + -1(x + 7) d + (6 + -2x) = 5 + -1(x + 7) Reorder the terms: 6 + d + -2x = 5 + -1(x + 7) Reorder the terms: 6 + d + -2x = 5 + -1(7 + x) 6 + d + -2x = 5 + (7 * -1 + x * -1) 6 + d + -2x = 5 + (-7 + -1x) Combine like terms: 5 + -7 = -2 6 + d + -2x = -2 + -1x Solving 6 + d + -2x = -2 + -1x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + d + -6 + -2x = -2 + -6 + -1x Reorder the terms: 6 + -6 + d + -2x = -2 + -6 + -1x Combine like terms: 6 + -6 = 0 0 + d + -2x = -2 + -6 + -1x d + -2x = -2 + -6 + -1x Combine like terms: -2 + -6 = -8 d + -2x = -8 + -1x Add '2x' to each side of the equation. d + -2x + 2x = -8 + -1x + 2x Combine like terms: -2x + 2x = 0 d + 0 = -8 + -1x + 2x d = -8 + -1x + 2x Combine like terms: -1x + 2x = 1x d = -8 + 1x Simplifying d = -8 + 1x
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