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Simplifying 2x2 + 5 + -1Cx2 + -1Dx + -5Cx + -5D = Ax2 + 6Ax Reorder the terms: 5 + -5D + -5xC + -1xD + 2x2 + -1x2C = Ax2 + 6Ax Reorder the terms: 5 + -5D + -5xC + -1xD + 2x2 + -1x2C = 6xA + x2A Solving 5 + -5D + -5xC + -1xD + 2x2 + -1x2C = 6xA + x2A Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5D + -5xC + -1xD + 2x2 + -5 + -1x2C = 6xA + -5 + x2A Reorder the terms: 5 + -5 + -5D + -5xC + -1xD + 2x2 + -1x2C = 6xA + -5 + x2A Combine like terms: 5 + -5 = 0 0 + -5D + -5xC + -1xD + 2x2 + -1x2C = 6xA + -5 + x2A -5D + -5xC + -1xD + 2x2 + -1x2C = 6xA + -5 + x2A Reorder the terms: -5D + -5xC + -1xD + 2x2 + -1x2C = -5 + 6xA + x2A Add '5xC' to each side of the equation. -5D + -5xC + -1xD + 2x2 + 5xC + -1x2C = -5 + 6xA + 5xC + x2A Reorder the terms: -5D + -5xC + 5xC + -1xD + 2x2 + -1x2C = -5 + 6xA + 5xC + x2A Combine like terms: -5xC + 5xC = 0 -5D + 0 + -1xD + 2x2 + -1x2C = -5 + 6xA + 5xC + x2A -5D + -1xD + 2x2 + -1x2C = -5 + 6xA + 5xC + x2A Add '-2x2' to each side of the equation. -5D + -1xD + 2x2 + -2x2 + -1x2C = -5 + 6xA + 5xC + -2x2 + x2A Combine like terms: 2x2 + -2x2 = 0 -5D + -1xD + 0 + -1x2C = -5 + 6xA + 5xC + -2x2 + x2A -5D + -1xD + -1x2C = -5 + 6xA + 5xC + -2x2 + x2A Add 'x2C' to each side of the equation. -5D + -1xD + -1x2C + x2C = -5 + 6xA + 5xC + -2x2 + x2A + x2C Combine like terms: -1x2C + x2C = 0 -5D + -1xD + 0 = -5 + 6xA + 5xC + -2x2 + x2A + x2C -5D + -1xD = -5 + 6xA + 5xC + -2x2 + x2A + x2C Reorder the terms: 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = -5 + 6xA + 5xC + -2x2 + x2A + x2C + 5 + -6xA + -5xC + 2x2 + -1x2A + -1x2C Reorder the terms: 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = -5 + 5 + 6xA + -6xA + 5xC + -5xC + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C Combine like terms: -5 + 5 = 0 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 + 6xA + -6xA + 5xC + -5xC + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 6xA + -6xA + 5xC + -5xC + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C Combine like terms: 6xA + -6xA = 0 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 + 5xC + -5xC + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 5xC + -5xC + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C Combine like terms: 5xC + -5xC = 0 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C Combine like terms: -2x2 + 2x2 = 0 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 + x2A + -1x2A + x2C + -1x2C 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = x2A + -1x2A + x2C + -1x2C Combine like terms: x2A + -1x2A = 0 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 + x2C + -1x2C 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = x2C + -1x2C Combine like terms: x2C + -1x2C = 0 5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 The solution to this equation could not be determined.
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