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Simplifying 5x + 18 + 8x + 7 = 10x + 13 + 14x + -11 Reorder the terms: 18 + 7 + 5x + 8x = 10x + 13 + 14x + -11 Combine like terms: 18 + 7 = 25 25 + 5x + 8x = 10x + 13 + 14x + -11 Combine like terms: 5x + 8x = 13x 25 + 13x = 10x + 13 + 14x + -11 Reorder the terms: 25 + 13x = 13 + -11 + 10x + 14x Combine like terms: 13 + -11 = 2 25 + 13x = 2 + 10x + 14x Combine like terms: 10x + 14x = 24x 25 + 13x = 2 + 24x Solving 25 + 13x = 2 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 25 + 13x + -24x = 2 + 24x + -24x Combine like terms: 13x + -24x = -11x 25 + -11x = 2 + 24x + -24x Combine like terms: 24x + -24x = 0 25 + -11x = 2 + 0 25 + -11x = 2 Add '-25' to each side of the equation. 25 + -25 + -11x = 2 + -25 Combine like terms: 25 + -25 = 0 0 + -11x = 2 + -25 -11x = 2 + -25 Combine like terms: 2 + -25 = -23 -11x = -23 Divide each side by '-11'. x = 2.090909091 Simplifying x = 2.090909091
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