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Simplifying x + 2x + 4x + 12 = 2x + 3x + 38 Reorder the terms: 12 + x + 2x + 4x = 2x + 3x + 38 Combine like terms: x + 2x = 3x 12 + 3x + 4x = 2x + 3x + 38 Combine like terms: 3x + 4x = 7x 12 + 7x = 2x + 3x + 38 Reorder the terms: 12 + 7x = 38 + 2x + 3x Combine like terms: 2x + 3x = 5x 12 + 7x = 38 + 5x Solving 12 + 7x = 38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 7x + -5x = 38 + 5x + -5x Combine like terms: 7x + -5x = 2x 12 + 2x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 2x = 38 + 0 12 + 2x = 38 Add '-12' to each side of the equation. 12 + -12 + 2x = 38 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 38 + -12 2x = 38 + -12 Combine like terms: 38 + -12 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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