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Simplifying -5x + 6(3x + -7) = -22 + -7x Reorder the terms: -5x + 6(-7 + 3x) = -22 + -7x -5x + (-7 * 6 + 3x * 6) = -22 + -7x -5x + (-42 + 18x) = -22 + -7x Reorder the terms: -42 + -5x + 18x = -22 + -7x Combine like terms: -5x + 18x = 13x -42 + 13x = -22 + -7x Solving -42 + 13x = -22 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -42 + 13x + 7x = -22 + -7x + 7x Combine like terms: 13x + 7x = 20x -42 + 20x = -22 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + 20x = -22 + 0 -42 + 20x = -22 Add '42' to each side of the equation. -42 + 42 + 20x = -22 + 42 Combine like terms: -42 + 42 = 0 0 + 20x = -22 + 42 20x = -22 + 42 Combine like terms: -22 + 42 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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