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Simplifying 8x + 14 = 5x + 6x + -10 Reorder the terms: 14 + 8x = 5x + 6x + -10 Reorder the terms: 14 + 8x = -10 + 5x + 6x Combine like terms: 5x + 6x = 11x 14 + 8x = -10 + 11x Solving 14 + 8x = -10 + 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 + 8x + -11x = -10 + 11x + -11x Combine like terms: 8x + -11x = -3x 14 + -3x = -10 + 11x + -11x Combine like terms: 11x + -11x = 0 14 + -3x = -10 + 0 14 + -3x = -10 Add '-14' to each side of the equation. 14 + -14 + -3x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -10 + -14 -3x = -10 + -14 Combine like terms: -10 + -14 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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