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Simplifying x + -2y + -7 = 3xi + 5yi + -10i Reorder the terms: -7 + x + -2y = 3xi + 5yi + -10i Reorder the terms: -7 + x + -2y = -10i + 3ix + 5iy Solving -7 + x + -2y = -10i + 3ix + 5iy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3ix' to each side of the equation. -7 + x + -3ix + -2y = -10i + 3ix + -3ix + 5iy Reorder the terms: -7 + -3ix + x + -2y = -10i + 3ix + -3ix + 5iy Combine like terms: 3ix + -3ix = 0 -7 + -3ix + x + -2y = -10i + 0 + 5iy -7 + -3ix + x + -2y = -10i + 5iy Add '7' to each side of the equation. -7 + -3ix + x + 7 + -2y = -10i + 7 + 5iy Reorder the terms: -7 + 7 + -3ix + x + -2y = -10i + 7 + 5iy Combine like terms: -7 + 7 = 0 0 + -3ix + x + -2y = -10i + 7 + 5iy -3ix + x + -2y = -10i + 7 + 5iy Reorder the terms: -3ix + x + -2y = 7 + -10i + 5iy Add '2y' to each side of the equation. -3ix + x + -2y + 2y = 7 + -10i + 5iy + 2y Combine like terms: -2y + 2y = 0 -3ix + x + 0 = 7 + -10i + 5iy + 2y -3ix + x = 7 + -10i + 5iy + 2y Reorder the terms: -7 + 10i + -3ix + -5iy + x + -2y = 7 + -10i + 5iy + 2y + -7 + 10i + -5iy + -2y Reorder the terms: -7 + 10i + -3ix + -5iy + x + -2y = 7 + -7 + -10i + 10i + 5iy + -5iy + 2y + -2y Combine like terms: 7 + -7 = 0 -7 + 10i + -3ix + -5iy + x + -2y = 0 + -10i + 10i + 5iy + -5iy + 2y + -2y -7 + 10i + -3ix + -5iy + x + -2y = -10i + 10i + 5iy + -5iy + 2y + -2y Combine like terms: -10i + 10i = 0 -7 + 10i + -3ix + -5iy + x + -2y = 0 + 5iy + -5iy + 2y + -2y -7 + 10i + -3ix + -5iy + x + -2y = 5iy + -5iy + 2y + -2y Combine like terms: 5iy + -5iy = 0 -7 + 10i + -3ix + -5iy + x + -2y = 0 + 2y + -2y -7 + 10i + -3ix + -5iy + x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 10i + -3ix + -5iy + x + -2y = 0 The solution to this equation could not be determined.
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