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Simplifying 13x + -55 = 8x + -10 + 10 Reorder the terms: -55 + 13x = 8x + -10 + 10 Reorder the terms: -55 + 13x = -10 + 10 + 8x Combine like terms: -10 + 10 = 0 -55 + 13x = 0 + 8x -55 + 13x = 8x Solving -55 + 13x = 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. -55 + 13x + -8x = 8x + -8x Combine like terms: 13x + -8x = 5x -55 + 5x = 8x + -8x Combine like terms: 8x + -8x = 0 -55 + 5x = 0 Add '55' to each side of the equation. -55 + 55 + 5x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 5x = 0 + 55 5x = 0 + 55 Combine like terms: 0 + 55 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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