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Simplifying 7x + 11 + 6x + 10 = 5x + 13 Reorder the terms: 11 + 10 + 7x + 6x = 5x + 13 Combine like terms: 11 + 10 = 21 21 + 7x + 6x = 5x + 13 Combine like terms: 7x + 6x = 13x 21 + 13x = 5x + 13 Reorder the terms: 21 + 13x = 13 + 5x Solving 21 + 13x = 13 + 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. 21 + 13x + -5x = 13 + 5x + -5x Combine like terms: 13x + -5x = 8x 21 + 8x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 8x = 13 + 0 21 + 8x = 13 Add '-21' to each side of the equation. 21 + -21 + 8x = 13 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 13 + -21 8x = 13 + -21 Combine like terms: 13 + -21 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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