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Simplifying -2(3x + -1) + -4(1 + -7x) = 42 Reorder the terms: -2(-1 + 3x) + -4(1 + -7x) = 42 (-1 * -2 + 3x * -2) + -4(1 + -7x) = 42 (2 + -6x) + -4(1 + -7x) = 42 2 + -6x + (1 * -4 + -7x * -4) = 42 2 + -6x + (-4 + 28x) = 42 Reorder the terms: 2 + -4 + -6x + 28x = 42 Combine like terms: 2 + -4 = -2 -2 + -6x + 28x = 42 Combine like terms: -6x + 28x = 22x -2 + 22x = 42 Solving -2 + 22x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 22x = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 22x = 42 + 2 22x = 42 + 2 Combine like terms: 42 + 2 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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