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Simplifying 3x + 4 + x = 2 + 2x + 12 Reorder the terms: 4 + 3x + x = 2 + 2x + 12 Combine like terms: 3x + x = 4x 4 + 4x = 2 + 2x + 12 Reorder the terms: 4 + 4x = 2 + 12 + 2x Combine like terms: 2 + 12 = 14 4 + 4x = 14 + 2x Solving 4 + 4x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 4x + -2x = 14 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = 14 + 0 4 + 2x = 14 Add '-4' to each side of the equation. 4 + -4 + 2x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 14 + -4 2x = 14 + -4 Combine like terms: 14 + -4 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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