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Simplifying -5(1 + -7x) + 3x = 147 (1 * -5 + -7x * -5) + 3x = 147 (-5 + 35x) + 3x = 147 Combine like terms: 35x + 3x = 38x -5 + 38x = 147 Solving -5 + 38x = 147 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 38x = 147 + 5 Combine like terms: -5 + 5 = 0 0 + 38x = 147 + 5 38x = 147 + 5 Combine like terms: 147 + 5 = 152 38x = 152 Divide each side by '38'. x = 4 Simplifying x = 4
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