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