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Simplifying X + 7x + 5 + 2x + 7 + 5x = 2x + 42 + x + 6 Reorder the terms: 5 + 7 + X + 7x + 2x + 5x = 2x + 42 + x + 6 Combine like terms: 5 + 7 = 12 12 + X + 7x + 2x + 5x = 2x + 42 + x + 6 Combine like terms: 7x + 2x = 9x 12 + X + 9x + 5x = 2x + 42 + x + 6 Combine like terms: 9x + 5x = 14x 12 + X + 14x = 2x + 42 + x + 6 Reorder the terms: 12 + X + 14x = 42 + 6 + 2x + x Combine like terms: 42 + 6 = 48 12 + X + 14x = 48 + 2x + x Combine like terms: 2x + x = 3x 12 + X + 14x = 48 + 3x Solving 12 + X + 14x = 48 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + X + -12 + 14x = 48 + -12 + 3x Reorder the terms: 12 + -12 + X + 14x = 48 + -12 + 3x Combine like terms: 12 + -12 = 0 0 + X + 14x = 48 + -12 + 3x X + 14x = 48 + -12 + 3x Combine like terms: 48 + -12 = 36 X + 14x = 36 + 3x Add '-14x' to each side of the equation. X + 14x + -14x = 36 + 3x + -14x Combine like terms: 14x + -14x = 0 X + 0 = 36 + 3x + -14x X = 36 + 3x + -14x Combine like terms: 3x + -14x = -11x X = 36 + -11x Simplifying X = 36 + -11x
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