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Simplifying 3x + -22 = 5(2 + -1x) Reorder the terms: -22 + 3x = 5(2 + -1x) -22 + 3x = (2 * 5 + -1x * 5) -22 + 3x = (10 + -5x) Solving -22 + 3x = 10 + -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 + 3x + 5x = 10 + -5x + 5x Combine like terms: 3x + 5x = 8x -22 + 8x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -22 + 8x = 10 + 0 -22 + 8x = 10 Add '22' to each side of the equation. -22 + 22 + 8x = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = 10 + 22 8x = 10 + 22 Combine like terms: 10 + 22 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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