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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 = -32x -119 + -32x = 147 Solving -119 + -32x = 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 + -32x = 147 + 119 Combine like terms: -119 + 119 = 0 0 + -32x = 147 + 119 -32x = 147 + 119 Combine like terms: 147 + 119 = 266 -32x = 266 Divide each side by '-32'. x = -8.3125 Simplifying x = -8.3125
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