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Simplifying -11(2 + -5x) = 9(6x + -1) + -4 (2 * -11 + -5x * -11) = 9(6x + -1) + -4 (-22 + 55x) = 9(6x + -1) + -4 Reorder the terms: -22 + 55x = 9(-1 + 6x) + -4 -22 + 55x = (-1 * 9 + 6x * 9) + -4 -22 + 55x = (-9 + 54x) + -4 Reorder the terms: -22 + 55x = -9 + -4 + 54x Combine like terms: -9 + -4 = -13 -22 + 55x = -13 + 54x Solving -22 + 55x = -13 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -22 + 55x + -54x = -13 + 54x + -54x Combine like terms: 55x + -54x = 1x -22 + 1x = -13 + 54x + -54x Combine like terms: 54x + -54x = 0 -22 + 1x = -13 + 0 -22 + 1x = -13 Add '22' to each side of the equation. -22 + 22 + 1x = -13 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = -13 + 22 1x = -13 + 22 Combine like terms: -13 + 22 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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