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Simplifying 3x + -7(-5x + 17) = 147 Reorder the terms: 3x + -7(17 + -5x) = 147 3x + (17 * -7 + -5x * -7) = 147 3x + (-119 + 35x) = 147 Reorder the terms: -119 + 3x + 35x = 147 Combine like terms: 3x + 35x = 38x -119 + 38x = 147 Solving -119 + 38x = 147 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '119' to each side of the equation. -119 + 119 + 38x = 147 + 119 Combine like terms: -119 + 119 = 0 0 + 38x = 147 + 119 38x = 147 + 119 Combine like terms: 147 + 119 = 266 38x = 266 Divide each side by '38'. x = 7 Simplifying x = 7
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