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Simplifying 13x + 8 = -14x + 343 Reorder the terms: 8 + 13x = -14x + 343 Reorder the terms: 8 + 13x = 343 + -14x Solving 8 + 13x = 343 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 8 + 13x + 14x = 343 + -14x + 14x Combine like terms: 13x + 14x = 27x 8 + 27x = 343 + -14x + 14x Combine like terms: -14x + 14x = 0 8 + 27x = 343 + 0 8 + 27x = 343 Add '-8' to each side of the equation. 8 + -8 + 27x = 343 + -8 Combine like terms: 8 + -8 = 0 0 + 27x = 343 + -8 27x = 343 + -8 Combine like terms: 343 + -8 = 335 27x = 335 Divide each side by '27'. x = 12.40740741 Simplifying x = 12.40740741
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