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Simplifying 3x + 5x + 13 = 9x + -14 + 8x Reorder the terms: 13 + 3x + 5x = 9x + -14 + 8x Combine like terms: 3x + 5x = 8x 13 + 8x = 9x + -14 + 8x Reorder the terms: 13 + 8x = -14 + 9x + 8x Combine like terms: 9x + 8x = 17x 13 + 8x = -14 + 17x Solving 13 + 8x = -14 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 13 + 8x + -17x = -14 + 17x + -17x Combine like terms: 8x + -17x = -9x 13 + -9x = -14 + 17x + -17x Combine like terms: 17x + -17x = 0 13 + -9x = -14 + 0 13 + -9x = -14 Add '-13' to each side of the equation. 13 + -13 + -9x = -14 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = -14 + -13 -9x = -14 + -13 Combine like terms: -14 + -13 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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