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Simplifying 3x + 5(3x + -13) = 61 Reorder the terms: 3x + 5(-13 + 3x) = 61 3x + (-13 * 5 + 3x * 5) = 61 3x + (-65 + 15x) = 61 Reorder the terms: -65 + 3x + 15x = 61 Combine like terms: 3x + 15x = 18x -65 + 18x = 61 Solving -65 + 18x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 18x = 61 + 65 Combine like terms: -65 + 65 = 0 0 + 18x = 61 + 65 18x = 61 + 65 Combine like terms: 61 + 65 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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