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Simplifying 3x + 5(3x + -13) = 43 Reorder the terms: 3x + 5(-13 + 3x) = 43 3x + (-13 * 5 + 3x * 5) = 43 3x + (-65 + 15x) = 43 Reorder the terms: -65 + 3x + 15x = 43 Combine like terms: 3x + 15x = 18x -65 + 18x = 43 Solving -65 + 18x = 43 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 = 43 + 65 Combine like terms: -65 + 65 = 0 0 + 18x = 43 + 65 18x = 43 + 65 Combine like terms: 43 + 65 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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