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Simplifying -6(7x + -2) + 6 = -42 + 18 Reorder the terms: -6(-2 + 7x) + 6 = -42 + 18 (-2 * -6 + 7x * -6) + 6 = -42 + 18 (12 + -42x) + 6 = -42 + 18 Reorder the terms: 12 + 6 + -42x = -42 + 18 Combine like terms: 12 + 6 = 18 18 + -42x = -42 + 18 Combine like terms: -42 + 18 = -24 18 + -42x = -24 Solving 18 + -42x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -42x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -42x = -24 + -18 -42x = -24 + -18 Combine like terms: -24 + -18 = -42 -42x = -42 Divide each side by '-42'. x = 1 Simplifying x = 1
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