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Simplifying 4x + 2 + 3x = 5 + 2x + 12 Reorder the terms: 2 + 4x + 3x = 5 + 2x + 12 Combine like terms: 4x + 3x = 7x 2 + 7x = 5 + 2x + 12 Reorder the terms: 2 + 7x = 5 + 12 + 2x Combine like terms: 5 + 12 = 17 2 + 7x = 17 + 2x Solving 2 + 7x = 17 + 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. 2 + 7x + -2x = 17 + 2x + -2x Combine like terms: 7x + -2x = 5x 2 + 5x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 5x = 17 + 0 2 + 5x = 17 Add '-2' to each side of the equation. 2 + -2 + 5x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 17 + -2 5x = 17 + -2 Combine like terms: 17 + -2 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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