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Simplifying 13x + 10 + -11 = 8x + 16 + -1x Reorder the terms: 10 + -11 + 13x = 8x + 16 + -1x Combine like terms: 10 + -11 = -1 -1 + 13x = 8x + 16 + -1x Reorder the terms: -1 + 13x = 16 + 8x + -1x Combine like terms: 8x + -1x = 7x -1 + 13x = 16 + 7x Solving -1 + 13x = 16 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 13x + -7x = 16 + 7x + -7x Combine like terms: 13x + -7x = 6x -1 + 6x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 6x = 16 + 0 -1 + 6x = 16 Add '1' to each side of the equation. -1 + 1 + 6x = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 16 + 1 6x = 16 + 1 Combine like terms: 16 + 1 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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