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Simplifying -22 = -7 + 5(x + -2) Reorder the terms: -22 = -7 + 5(-2 + x) -22 = -7 + (-2 * 5 + x * 5) -22 = -7 + (-10 + 5x) Combine like terms: -7 + -10 = -17 -22 = -17 + 5x Solving -22 = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -22 + -5x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + -5x = -17 + 0 -22 + -5x = -17 Add '22' to each side of the equation. -22 + 22 + -5x = -17 + 22 Combine like terms: -22 + 22 = 0 0 + -5x = -17 + 22 -5x = -17 + 22 Combine like terms: -17 + 22 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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