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Simplifying 6(7x + -3) + -2 = 42 + -20 Reorder the terms: 6(-3 + 7x) + -2 = 42 + -20 (-3 * 6 + 7x * 6) + -2 = 42 + -20 (-18 + 42x) + -2 = 42 + -20 Reorder the terms: -18 + -2 + 42x = 42 + -20 Combine like terms: -18 + -2 = -20 -20 + 42x = 42 + -20 Combine like terms: 42 + -20 = 22 -20 + 42x = 22 Solving -20 + 42x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 42x = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 42x = 22 + 20 42x = 22 + 20 Combine like terms: 22 + 20 = 42 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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