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Simplifying 8x + x + 14 = 5x + 6x + -13 Reorder the terms: 14 + 8x + x = 5x + 6x + -13 Combine like terms: 8x + x = 9x 14 + 9x = 5x + 6x + -13 Reorder the terms: 14 + 9x = -13 + 5x + 6x Combine like terms: 5x + 6x = 11x 14 + 9x = -13 + 11x Solving 14 + 9x = -13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 14 + 9x + -11x = -13 + 11x + -11x Combine like terms: 9x + -11x = -2x 14 + -2x = -13 + 11x + -11x Combine like terms: 11x + -11x = 0 14 + -2x = -13 + 0 14 + -2x = -13 Add '-14' to each side of the equation. 14 + -14 + -2x = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -13 + -14 -2x = -13 + -14 Combine like terms: -13 + -14 = -27 -2x = -27 Divide each side by '-2'. x = 13.5 Simplifying x = 13.5
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