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Simplifying -1(15 + -2x) + -1(8 + -3x) = 22 (15 * -1 + -2x * -1) + -1(8 + -3x) = 22 (-15 + 2x) + -1(8 + -3x) = 22 -15 + 2x + (8 * -1 + -3x * -1) = 22 -15 + 2x + (-8 + 3x) = 22 Reorder the terms: -15 + -8 + 2x + 3x = 22 Combine like terms: -15 + -8 = -23 -23 + 2x + 3x = 22 Combine like terms: 2x + 3x = 5x -23 + 5x = 22 Solving -23 + 5x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 5x = 22 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 22 + 23 5x = 22 + 23 Combine like terms: 22 + 23 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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