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Simplifying x + 4x + 6 = 2x + 14 Reorder the terms: 6 + x + 4x = 2x + 14 Combine like terms: x + 4x = 5x 6 + 5x = 2x + 14 Reorder the terms: 6 + 5x = 14 + 2x Solving 6 + 5x = 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. 6 + 5x + -2x = 14 + 2x + -2x Combine like terms: 5x + -2x = 3x 6 + 3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 3x = 14 + 0 6 + 3x = 14 Add '-6' to each side of the equation. 6 + -6 + 3x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 14 + -6 3x = 14 + -6 Combine like terms: 14 + -6 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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