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Simplifying X + 6 + x + 3 + x + 9 = x + 4 + x + 1 + x + 4 + x + 1 Reorder the terms: 6 + 3 + 9 + X + x + x = x + 4 + x + 1 + x + 4 + x + 1 Combine like terms: 6 + 3 = 9 9 + 9 + X + x + x = x + 4 + x + 1 + x + 4 + x + 1 Combine like terms: 9 + 9 = 18 18 + X + x + x = x + 4 + x + 1 + x + 4 + x + 1 Combine like terms: x + x = 2x 18 + X + 2x = x + 4 + x + 1 + x + 4 + x + 1 Reorder the terms: 18 + X + 2x = 4 + 1 + 4 + 1 + x + x + x + x Combine like terms: 4 + 1 = 5 18 + X + 2x = 5 + 4 + 1 + x + x + x + x Combine like terms: 5 + 4 = 9 18 + X + 2x = 9 + 1 + x + x + x + x Combine like terms: 9 + 1 = 10 18 + X + 2x = 10 + x + x + x + x Combine like terms: x + x = 2x 18 + X + 2x = 10 + 2x + x + x Combine like terms: 2x + x = 3x 18 + X + 2x = 10 + 3x + x Combine like terms: 3x + x = 4x 18 + X + 2x = 10 + 4x Solving 18 + X + 2x = 10 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + X + -18 + 2x = 10 + -18 + 4x Reorder the terms: 18 + -18 + X + 2x = 10 + -18 + 4x Combine like terms: 18 + -18 = 0 0 + X + 2x = 10 + -18 + 4x X + 2x = 10 + -18 + 4x Combine like terms: 10 + -18 = -8 X + 2x = -8 + 4x Add '-2x' to each side of the equation. X + 2x + -2x = -8 + 4x + -2x Combine like terms: 2x + -2x = 0 X + 0 = -8 + 4x + -2x X = -8 + 4x + -2x Combine like terms: 4x + -2x = 2x X = -8 + 2x Simplifying X = -8 + 2x
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