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Simplifying 8x + -9 + -6x + 14 = 11x + -9 + -10x + 13 Reorder the terms: -9 + 14 + 8x + -6x = 11x + -9 + -10x + 13 Combine like terms: -9 + 14 = 5 5 + 8x + -6x = 11x + -9 + -10x + 13 Combine like terms: 8x + -6x = 2x 5 + 2x = 11x + -9 + -10x + 13 Reorder the terms: 5 + 2x = -9 + 13 + 11x + -10x Combine like terms: -9 + 13 = 4 5 + 2x = 4 + 11x + -10x Combine like terms: 11x + -10x = 1x 5 + 2x = 4 + 1x Solving 5 + 2x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 2x + -1x = 4 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 4 + 0 5 + 1x = 4 Add '-5' to each side of the equation. 5 + -5 + 1x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 4 + -5 1x = 4 + -5 Combine like terms: 4 + -5 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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