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Simplifying 6(1 + -7x) = -4x + 6 (1 * 6 + -7x * 6) = -4x + 6 (6 + -42x) = -4x + 6 Reorder the terms: 6 + -42x = 6 + -4x Add '-6' to each side of the equation. 6 + -6 + -42x = 6 + -6 + -4x Combine like terms: 6 + -6 = 0 0 + -42x = 6 + -6 + -4x -42x = 6 + -6 + -4x Combine like terms: 6 + -6 = 0 -42x = 0 + -4x -42x = -4x Solving -42x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -42x + 4x = -4x + 4x Combine like terms: -42x + 4x = -38x -38x = -4x + 4x Combine like terms: -4x + 4x = 0 -38x = 0 Divide each side by '-38'. x = 0 Simplifying x = 0
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