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Simplifying 13x + 4 + 11x = 17 + -3x + 14 Reorder the terms: 4 + 13x + 11x = 17 + -3x + 14 Combine like terms: 13x + 11x = 24x 4 + 24x = 17 + -3x + 14 Reorder the terms: 4 + 24x = 17 + 14 + -3x Combine like terms: 17 + 14 = 31 4 + 24x = 31 + -3x Solving 4 + 24x = 31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 24x + 3x = 31 + -3x + 3x Combine like terms: 24x + 3x = 27x 4 + 27x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 27x = 31 + 0 4 + 27x = 31 Add '-4' to each side of the equation. 4 + -4 + 27x = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 27x = 31 + -4 27x = 31 + -4 Combine like terms: 31 + -4 = 27 27x = 27 Divide each side by '27'. x = 1 Simplifying x = 1
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