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Simplifying 5x + -6 + 6x + -8 = x + 4 + x + 10 Reorder the terms: -6 + -8 + 5x + 6x = x + 4 + x + 10 Combine like terms: -6 + -8 = -14 -14 + 5x + 6x = x + 4 + x + 10 Combine like terms: 5x + 6x = 11x -14 + 11x = x + 4 + x + 10 Reorder the terms: -14 + 11x = 4 + 10 + x + x Combine like terms: 4 + 10 = 14 -14 + 11x = 14 + x + x Combine like terms: x + x = 2x -14 + 11x = 14 + 2x Solving -14 + 11x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 11x + -2x = 14 + 2x + -2x Combine like terms: 11x + -2x = 9x -14 + 9x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 9x = 14 + 0 -14 + 9x = 14 Add '14' to each side of the equation. -14 + 14 + 9x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 14 + 14 9x = 14 + 14 Combine like terms: 14 + 14 = 28 9x = 28 Divide each side by '9'. x = 3.111111111 Simplifying x = 3.111111111
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