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Simplifying 4x + 2 + 6x = 7x + 14 Reorder the terms: 2 + 4x + 6x = 7x + 14 Combine like terms: 4x + 6x = 10x 2 + 10x = 7x + 14 Reorder the terms: 2 + 10x = 14 + 7x Solving 2 + 10x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 10x + -7x = 14 + 7x + -7x Combine like terms: 10x + -7x = 3x 2 + 3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 3x = 14 + 0 2 + 3x = 14 Add '-2' to each side of the equation. 2 + -2 + 3x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 14 + -2 3x = 14 + -2 Combine like terms: 14 + -2 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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