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Simplifying 2(x + -2) + -3d = 6 + -6x Reorder the terms: 2(-2 + x) + -3d = 6 + -6x (-2 * 2 + x * 2) + -3d = 6 + -6x (-4 + 2x) + -3d = 6 + -6x Reorder the terms: -4 + -3d + 2x = 6 + -6x Solving -4 + -3d + 2x = 6 + -6x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -3d + 4 + 2x = 6 + 4 + -6x Reorder the terms: -4 + 4 + -3d + 2x = 6 + 4 + -6x Combine like terms: -4 + 4 = 0 0 + -3d + 2x = 6 + 4 + -6x -3d + 2x = 6 + 4 + -6x Combine like terms: 6 + 4 = 10 -3d + 2x = 10 + -6x Add '-2x' to each side of the equation. -3d + 2x + -2x = 10 + -6x + -2x Combine like terms: 2x + -2x = 0 -3d + 0 = 10 + -6x + -2x -3d = 10 + -6x + -2x Combine like terms: -6x + -2x = -8x -3d = 10 + -8x Divide each side by '-3'. d = -3.333333333 + 2.666666667x Simplifying d = -3.333333333 + 2.666666667x
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