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Simplifying 4x + 2 + 3x = 5x + 14 + x Reorder the terms: 2 + 4x + 3x = 5x + 14 + x Combine like terms: 4x + 3x = 7x 2 + 7x = 5x + 14 + x Reorder the terms: 2 + 7x = 14 + 5x + x Combine like terms: 5x + x = 6x 2 + 7x = 14 + 6x Solving 2 + 7x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 7x + -6x = 14 + 6x + -6x Combine like terms: 7x + -6x = 1x 2 + 1x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 1x = 14 + 0 2 + 1x = 14 Add '-2' to each side of the equation. 2 + -2 + 1x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 14 + -2 1x = 14 + -2 Combine like terms: 14 + -2 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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