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Simplifying 8x + -22 = 3(3x + 11 + -1x) Reorder the terms: -22 + 8x = 3(3x + 11 + -1x) Reorder the terms: -22 + 8x = 3(11 + 3x + -1x) Combine like terms: 3x + -1x = 2x -22 + 8x = 3(11 + 2x) -22 + 8x = (11 * 3 + 2x * 3) -22 + 8x = (33 + 6x) Solving -22 + 8x = 33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -22 + 8x + -6x = 33 + 6x + -6x Combine like terms: 8x + -6x = 2x -22 + 2x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + 2x = 33 + 0 -22 + 2x = 33 Add '22' to each side of the equation. -22 + 22 + 2x = 33 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 33 + 22 2x = 33 + 22 Combine like terms: 33 + 22 = 55 2x = 55 Divide each side by '2'. x = 27.5 Simplifying x = 27.5
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