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Simplifying X + x + (x + 25) + (x + 25) = 2x + 2x + (x + 10) + (x + 10) Reorder the terms: X + x + (25 + x) + (x + 25) = 2x + 2x + (x + 10) + (x + 10) Remove parenthesis around (25 + x) X + x + 25 + x + (x + 25) = 2x + 2x + (x + 10) + (x + 10) Reorder the terms: X + x + 25 + x + (25 + x) = 2x + 2x + (x + 10) + (x + 10) Remove parenthesis around (25 + x) X + x + 25 + x + 25 + x = 2x + 2x + (x + 10) + (x + 10) Reorder the terms: 25 + 25 + X + x + x + x = 2x + 2x + (x + 10) + (x + 10) Combine like terms: 25 + 25 = 50 50 + X + x + x + x = 2x + 2x + (x + 10) + (x + 10) Combine like terms: x + x = 2x 50 + X + 2x + x = 2x + 2x + (x + 10) + (x + 10) Combine like terms: 2x + x = 3x 50 + X + 3x = 2x + 2x + (x + 10) + (x + 10) Reorder the terms: 50 + X + 3x = 2x + 2x + (10 + x) + (x + 10) Remove parenthesis around (10 + x) 50 + X + 3x = 2x + 2x + 10 + x + (x + 10) Reorder the terms: 50 + X + 3x = 2x + 2x + 10 + x + (10 + x) Remove parenthesis around (10 + x) 50 + X + 3x = 2x + 2x + 10 + x + 10 + x Reorder the terms: 50 + X + 3x = 10 + 10 + 2x + 2x + x + x Combine like terms: 10 + 10 = 20 50 + X + 3x = 20 + 2x + 2x + x + x Combine like terms: 2x + 2x = 4x 50 + X + 3x = 20 + 4x + x + x Combine like terms: 4x + x = 5x 50 + X + 3x = 20 + 5x + x Combine like terms: 5x + x = 6x 50 + X + 3x = 20 + 6x Solving 50 + X + 3x = 20 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + X + -50 + 3x = 20 + -50 + 6x Reorder the terms: 50 + -50 + X + 3x = 20 + -50 + 6x Combine like terms: 50 + -50 = 0 0 + X + 3x = 20 + -50 + 6x X + 3x = 20 + -50 + 6x Combine like terms: 20 + -50 = -30 X + 3x = -30 + 6x Add '-3x' to each side of the equation. X + 3x + -3x = -30 + 6x + -3x Combine like terms: 3x + -3x = 0 X + 0 = -30 + 6x + -3x X = -30 + 6x + -3x Combine like terms: 6x + -3x = 3x X = -30 + 3x Simplifying X = -30 + 3x
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