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Simplifying -5x + -22 = -5(x + -4) + -7x Reorder the terms: -22 + -5x = -5(x + -4) + -7x Reorder the terms: -22 + -5x = -5(-4 + x) + -7x -22 + -5x = (-4 * -5 + x * -5) + -7x -22 + -5x = (20 + -5x) + -7x Combine like terms: -5x + -7x = -12x -22 + -5x = 20 + -12x Solving -22 + -5x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -22 + -5x + 12x = 20 + -12x + 12x Combine like terms: -5x + 12x = 7x -22 + 7x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 -22 + 7x = 20 + 0 -22 + 7x = 20 Add '22' to each side of the equation. -22 + 22 + 7x = 20 + 22 Combine like terms: -22 + 22 = 0 0 + 7x = 20 + 22 7x = 20 + 22 Combine like terms: 20 + 22 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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