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Simplifying 9x + 5x + -2x + 13 = 8x + 25 Reorder the terms: 13 + 9x + 5x + -2x = 8x + 25 Combine like terms: 9x + 5x = 14x 13 + 14x + -2x = 8x + 25 Combine like terms: 14x + -2x = 12x 13 + 12x = 8x + 25 Reorder the terms: 13 + 12x = 25 + 8x Solving 13 + 12x = 25 + 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. 13 + 12x + -8x = 25 + 8x + -8x Combine like terms: 12x + -8x = 4x 13 + 4x = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + 4x = 25 + 0 13 + 4x = 25 Add '-13' to each side of the equation. 13 + -13 + 4x = 25 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 25 + -13 4x = 25 + -13 Combine like terms: 25 + -13 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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