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Simplifying -3(4x + 1) + -1(5 + -7x) = 22 Reorder the terms: -3(1 + 4x) + -1(5 + -7x) = 22 (1 * -3 + 4x * -3) + -1(5 + -7x) = 22 (-3 + -12x) + -1(5 + -7x) = 22 -3 + -12x + (5 * -1 + -7x * -1) = 22 -3 + -12x + (-5 + 7x) = 22 Reorder the terms: -3 + -5 + -12x + 7x = 22 Combine like terms: -3 + -5 = -8 -8 + -12x + 7x = 22 Combine like terms: -12x + 7x = -5x -8 + -5x = 22 Solving -8 + -5x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 22 + 8 -5x = 22 + 8 Combine like terms: 22 + 8 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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