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Simplifying 4(2x + -11) = 5x + -22 + x Reorder the terms: 4(-11 + 2x) = 5x + -22 + x (-11 * 4 + 2x * 4) = 5x + -22 + x (-44 + 8x) = 5x + -22 + x Reorder the terms: -44 + 8x = -22 + 5x + x Combine like terms: 5x + x = 6x -44 + 8x = -22 + 6x Solving -44 + 8x = -22 + 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. -44 + 8x + -6x = -22 + 6x + -6x Combine like terms: 8x + -6x = 2x -44 + 2x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -44 + 2x = -22 + 0 -44 + 2x = -22 Add '44' to each side of the equation. -44 + 44 + 2x = -22 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = -22 + 44 2x = -22 + 44 Combine like terms: -22 + 44 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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