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Simplifying -1(-5 + -2x) + -1(8 + -3x) = 22 (-5 * -1 + -2x * -1) + -1(8 + -3x) = 22 (5 + 2x) + -1(8 + -3x) = 22 5 + 2x + (8 * -1 + -3x * -1) = 22 5 + 2x + (-8 + 3x) = 22 Reorder the terms: 5 + -8 + 2x + 3x = 22 Combine like terms: 5 + -8 = -3 -3 + 2x + 3x = 22 Combine like terms: 2x + 3x = 5x -3 + 5x = 22 Solving -3 + 5x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5x = 22 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 22 + 3 5x = 22 + 3 Combine like terms: 22 + 3 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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