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Simplifying 7x + -1(2x + 2) = 9x + -22 Reorder the terms: 7x + -1(2 + 2x) = 9x + -22 7x + (2 * -1 + 2x * -1) = 9x + -22 7x + (-2 + -2x) = 9x + -22 Reorder the terms: -2 + 7x + -2x = 9x + -22 Combine like terms: 7x + -2x = 5x -2 + 5x = 9x + -22 Reorder the terms: -2 + 5x = -22 + 9x Solving -2 + 5x = -22 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 5x + -9x = -22 + 9x + -9x Combine like terms: 5x + -9x = -4x -2 + -4x = -22 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -4x = -22 + 0 -2 + -4x = -22 Add '2' to each side of the equation. -2 + 2 + -4x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -22 + 2 -4x = -22 + 2 Combine like terms: -22 + 2 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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