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Simplifying 4x + 7(4x + -17) = 105 Reorder the terms: 4x + 7(-17 + 4x) = 105 4x + (-17 * 7 + 4x * 7) = 105 4x + (-119 + 28x) = 105 Reorder the terms: -119 + 4x + 28x = 105 Combine like terms: 4x + 28x = 32x -119 + 32x = 105 Solving -119 + 32x = 105 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 = 105 + 119 Combine like terms: -119 + 119 = 0 0 + 32x = 105 + 119 32x = 105 + 119 Combine like terms: 105 + 119 = 224 32x = 224 Divide each side by '32'. x = 7 Simplifying x = 7
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