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Simplifying 3x + -22 = 3(3x + 11) + -1x Reorder the terms: -22 + 3x = 3(3x + 11) + -1x Reorder the terms: -22 + 3x = 3(11 + 3x) + -1x -22 + 3x = (11 * 3 + 3x * 3) + -1x -22 + 3x = (33 + 9x) + -1x Combine like terms: 9x + -1x = 8x -22 + 3x = 33 + 8x Solving -22 + 3x = 33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -22 + 3x + -8x = 33 + 8x + -8x Combine like terms: 3x + -8x = -5x -22 + -5x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 -22 + -5x = 33 + 0 -22 + -5x = 33 Add '22' to each side of the equation. -22 + 22 + -5x = 33 + 22 Combine like terms: -22 + 22 = 0 0 + -5x = 33 + 22 -5x = 33 + 22 Combine like terms: 33 + 22 = 55 -5x = 55 Divide each side by '-5'. x = -11 Simplifying x = -11
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