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Simplifying x + 13(x) = x + 10(x + 1) Combine like terms: x + 13x = 14x 14x = x + 10(x + 1) Reorder the terms: 14x = x + 10(1 + x) 14x = x + (1 * 10 + x * 10) 14x = x + (10 + 10x) Reorder the terms: 14x = 10 + x + 10x Combine like terms: x + 10x = 11x 14x = 10 + 11x Solving 14x = 10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 14x + -11x = 10 + 11x + -11x Combine like terms: 14x + -11x = 3x 3x = 10 + 11x + -11x Combine like terms: 11x + -11x = 0 3x = 10 + 0 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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