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Simplifying 38x + 13 = 6(6x + 5) Reorder the terms: 13 + 38x = 6(6x + 5) Reorder the terms: 13 + 38x = 6(5 + 6x) 13 + 38x = (5 * 6 + 6x * 6) 13 + 38x = (30 + 36x) Solving 13 + 38x = 30 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 13 + 38x + -36x = 30 + 36x + -36x Combine like terms: 38x + -36x = 2x 13 + 2x = 30 + 36x + -36x Combine like terms: 36x + -36x = 0 13 + 2x = 30 + 0 13 + 2x = 30 Add '-13' to each side of the equation. 13 + -13 + 2x = 30 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 30 + -13 2x = 30 + -13 Combine like terms: 30 + -13 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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