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Simplifying 11(4x + -2) = 42x + -2 Reorder the terms: 11(-2 + 4x) = 42x + -2 (-2 * 11 + 4x * 11) = 42x + -2 (-22 + 44x) = 42x + -2 Reorder the terms: -22 + 44x = -2 + 42x Solving -22 + 44x = -2 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -22 + 44x + -42x = -2 + 42x + -42x Combine like terms: 44x + -42x = 2x -22 + 2x = -2 + 42x + -42x Combine like terms: 42x + -42x = 0 -22 + 2x = -2 + 0 -22 + 2x = -2 Add '22' to each side of the equation. -22 + 22 + 2x = -2 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -2 + 22 2x = -2 + 22 Combine like terms: -2 + 22 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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