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Simplifying -6(1 + -7x) + -7x = 32 + -3x (1 * -6 + -7x * -6) + -7x = 32 + -3x (-6 + 42x) + -7x = 32 + -3x Combine like terms: 42x + -7x = 35x -6 + 35x = 32 + -3x Solving -6 + 35x = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 35x + 3x = 32 + -3x + 3x Combine like terms: 35x + 3x = 38x -6 + 38x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 38x = 32 + 0 -6 + 38x = 32 Add '6' to each side of the equation. -6 + 6 + 38x = 32 + 6 Combine like terms: -6 + 6 = 0 0 + 38x = 32 + 6 38x = 32 + 6 Combine like terms: 32 + 6 = 38 38x = 38 Divide each side by '38'. x = 1 Simplifying x = 1
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