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Simplifying 13 + 3x + -11 = 10x + -14 + -15x Reorder the terms: 13 + -11 + 3x = 10x + -14 + -15x Combine like terms: 13 + -11 = 2 2 + 3x = 10x + -14 + -15x Reorder the terms: 2 + 3x = -14 + 10x + -15x Combine like terms: 10x + -15x = -5x 2 + 3x = -14 + -5x Solving 2 + 3x = -14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 3x + 5x = -14 + -5x + 5x Combine like terms: 3x + 5x = 8x 2 + 8x = -14 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 8x = -14 + 0 2 + 8x = -14 Add '-2' to each side of the equation. 2 + -2 + 8x = -14 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -14 + -2 8x = -14 + -2 Combine like terms: -14 + -2 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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