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Simplifying 2x + 5 + 8x = 7 + 6x + 14 Reorder the terms: 5 + 2x + 8x = 7 + 6x + 14 Combine like terms: 2x + 8x = 10x 5 + 10x = 7 + 6x + 14 Reorder the terms: 5 + 10x = 7 + 14 + 6x Combine like terms: 7 + 14 = 21 5 + 10x = 21 + 6x Solving 5 + 10x = 21 + 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. 5 + 10x + -6x = 21 + 6x + -6x Combine like terms: 10x + -6x = 4x 5 + 4x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 4x = 21 + 0 5 + 4x = 21 Add '-5' to each side of the equation. 5 + -5 + 4x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 21 + -5 4x = 21 + -5 Combine like terms: 21 + -5 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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