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Simplifying 6(x + 8) = 3(d + -6) + 2d Reorder the terms: 6(8 + x) = 3(d + -6) + 2d (8 * 6 + x * 6) = 3(d + -6) + 2d (48 + 6x) = 3(d + -6) + 2d Reorder the terms: 48 + 6x = 3(-6 + d) + 2d 48 + 6x = (-6 * 3 + d * 3) + 2d 48 + 6x = (-18 + 3d) + 2d Combine like terms: 3d + 2d = 5d 48 + 6x = -18 + 5d Solving 48 + 6x = -18 + 5d Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 6x = -18 + -48 + 5d Combine like terms: 48 + -48 = 0 0 + 6x = -18 + -48 + 5d 6x = -18 + -48 + 5d Combine like terms: -18 + -48 = -66 6x = -66 + 5d Divide each side by '6'. x = -11 + 0.8333333333d Simplifying x = -11 + 0.8333333333d
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