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Simplifying 12x + 26x = 5(5x + 8) Combine like terms: 12x + 26x = 38x 38x = 5(5x + 8) Reorder the terms: 38x = 5(8 + 5x) 38x = (8 * 5 + 5x * 5) 38x = (40 + 25x) Solving 38x = 40 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 38x + -25x = 40 + 25x + -25x Combine like terms: 38x + -25x = 13x 13x = 40 + 25x + -25x Combine like terms: 25x + -25x = 0 13x = 40 + 0 13x = 40 Divide each side by '13'. x = 3.076923077 Simplifying x = 3.076923077
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