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Simplifying x + y + z + t + u + i + o = 1000 Reorder the terms: i + o + t + u + x + y + z = 1000 Solving i + o + t + u + x + y + z = 1000 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1o' to each side of the equation. i + o + t + u + x + y + -1o + z = 1000 + -1o Reorder the terms: i + o + -1o + t + u + x + y + z = 1000 + -1o Combine like terms: o + -1o = 0 i + 0 + t + u + x + y + z = 1000 + -1o i + t + u + x + y + z = 1000 + -1o Add '-1t' to each side of the equation. i + t + u + x + y + -1t + z = 1000 + -1o + -1t Reorder the terms: i + t + -1t + u + x + y + z = 1000 + -1o + -1t Combine like terms: t + -1t = 0 i + 0 + u + x + y + z = 1000 + -1o + -1t i + u + x + y + z = 1000 + -1o + -1t Add '-1u' to each side of the equation. i + u + x + y + -1u + z = 1000 + -1o + -1t + -1u Reorder the terms: i + u + -1u + x + y + z = 1000 + -1o + -1t + -1u Combine like terms: u + -1u = 0 i + 0 + x + y + z = 1000 + -1o + -1t + -1u i + x + y + z = 1000 + -1o + -1t + -1u Add '-1x' to each side of the equation. i + x + y + -1x + z = 1000 + -1o + -1t + -1u + -1x Reorder the terms: i + x + -1x + y + z = 1000 + -1o + -1t + -1u + -1x Combine like terms: x + -1x = 0 i + 0 + y + z = 1000 + -1o + -1t + -1u + -1x i + y + z = 1000 + -1o + -1t + -1u + -1x Add '-1y' to each side of the equation. i + y + -1y + z = 1000 + -1o + -1t + -1u + -1x + -1y Combine like terms: y + -1y = 0 i + 0 + z = 1000 + -1o + -1t + -1u + -1x + -1y i + z = 1000 + -1o + -1t + -1u + -1x + -1y Add '-1z' to each side of the equation. i + z + -1z = 1000 + -1o + -1t + -1u + -1x + -1y + -1z Combine like terms: z + -1z = 0 i + 0 = 1000 + -1o + -1t + -1u + -1x + -1y + -1z i = 1000 + -1o + -1t + -1u + -1x + -1y + -1z Simplifying i = 1000 + -1o + -1t + -1u + -1x + -1y + -1z
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