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Simplifying 11(3x + -2) = 5(6x + -5) Reorder the terms: 11(-2 + 3x) = 5(6x + -5) (-2 * 11 + 3x * 11) = 5(6x + -5) (-22 + 33x) = 5(6x + -5) Reorder the terms: -22 + 33x = 5(-5 + 6x) -22 + 33x = (-5 * 5 + 6x * 5) -22 + 33x = (-25 + 30x) Solving -22 + 33x = -25 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -22 + 33x + -30x = -25 + 30x + -30x Combine like terms: 33x + -30x = 3x -22 + 3x = -25 + 30x + -30x Combine like terms: 30x + -30x = 0 -22 + 3x = -25 + 0 -22 + 3x = -25 Add '22' to each side of the equation. -22 + 22 + 3x = -25 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = -25 + 22 3x = -25 + 22 Combine like terms: -25 + 22 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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