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Simplifying 4x + 2 + 3x = 3x + 12 Reorder the terms: 2 + 4x + 3x = 3x + 12 Combine like terms: 4x + 3x = 7x 2 + 7x = 3x + 12 Reorder the terms: 2 + 7x = 12 + 3x Solving 2 + 7x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 7x + -3x = 12 + 3x + -3x Combine like terms: 7x + -3x = 4x 2 + 4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 4x = 12 + 0 2 + 4x = 12 Add '-2' to each side of the equation. 2 + -2 + 4x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 12 + -2 4x = 12 + -2 Combine like terms: 12 + -2 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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