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Simplifying 14x + 7 + -6x + 14 = 25 + 10x + 4 + -4x Reorder the terms: 7 + 14 + 14x + -6x = 25 + 10x + 4 + -4x Combine like terms: 7 + 14 = 21 21 + 14x + -6x = 25 + 10x + 4 + -4x Combine like terms: 14x + -6x = 8x 21 + 8x = 25 + 10x + 4 + -4x Reorder the terms: 21 + 8x = 25 + 4 + 10x + -4x Combine like terms: 25 + 4 = 29 21 + 8x = 29 + 10x + -4x Combine like terms: 10x + -4x = 6x 21 + 8x = 29 + 6x Solving 21 + 8x = 29 + 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. 21 + 8x + -6x = 29 + 6x + -6x Combine like terms: 8x + -6x = 2x 21 + 2x = 29 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 2x = 29 + 0 21 + 2x = 29 Add '-21' to each side of the equation. 21 + -21 + 2x = 29 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 29 + -21 2x = 29 + -21 Combine like terms: 29 + -21 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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