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Simplifying 4x + 13 + 6x + 2 = 13 + 8x + 14 Reorder the terms: 13 + 2 + 4x + 6x = 13 + 8x + 14 Combine like terms: 13 + 2 = 15 15 + 4x + 6x = 13 + 8x + 14 Combine like terms: 4x + 6x = 10x 15 + 10x = 13 + 8x + 14 Reorder the terms: 15 + 10x = 13 + 14 + 8x Combine like terms: 13 + 14 = 27 15 + 10x = 27 + 8x Solving 15 + 10x = 27 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 10x + -8x = 27 + 8x + -8x Combine like terms: 10x + -8x = 2x 15 + 2x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 2x = 27 + 0 15 + 2x = 27 Add '-15' to each side of the equation. 15 + -15 + 2x = 27 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 27 + -15 2x = 27 + -15 Combine like terms: 27 + -15 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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