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Simplifying 6(7x + -1) = 3x + -6 Reorder the terms: 6(-1 + 7x) = 3x + -6 (-1 * 6 + 7x * 6) = 3x + -6 (-6 + 42x) = 3x + -6 Reorder the terms: -6 + 42x = -6 + 3x Add '6' to each side of the equation. -6 + 6 + 42x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + 42x = -6 + 6 + 3x 42x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 42x = 0 + 3x 42x = 3x Solving 42x = 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. 42x + -3x = 3x + -3x Combine like terms: 42x + -3x = 39x 39x = 3x + -3x Combine like terms: 3x + -3x = 0 39x = 0 Divide each side by '39'. x = 0 Simplifying x = 0
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