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Simplifying 13x + -2 = 2 + 8x + -49 Reorder the terms: -2 + 13x = 2 + 8x + -49 Reorder the terms: -2 + 13x = 2 + -49 + 8x Combine like terms: 2 + -49 = -47 -2 + 13x = -47 + 8x Solving -2 + 13x = -47 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 13x + -8x = -47 + 8x + -8x Combine like terms: 13x + -8x = 5x -2 + 5x = -47 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 5x = -47 + 0 -2 + 5x = -47 Add '2' to each side of the equation. -2 + 2 + 5x = -47 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -47 + 2 5x = -47 + 2 Combine like terms: -47 + 2 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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