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Simplifying 5(x + -2) = -11(x + -6 + 4) Reorder the terms: 5(-2 + x) = -11(x + -6 + 4) (-2 * 5 + x * 5) = -11(x + -6 + 4) (-10 + 5x) = -11(x + -6 + 4) Reorder the terms: -10 + 5x = -11(-6 + 4 + x) Combine like terms: -6 + 4 = -2 -10 + 5x = -11(-2 + x) -10 + 5x = (-2 * -11 + x * -11) -10 + 5x = (22 + -11x) Solving -10 + 5x = 22 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -10 + 5x + 11x = 22 + -11x + 11x Combine like terms: 5x + 11x = 16x -10 + 16x = 22 + -11x + 11x Combine like terms: -11x + 11x = 0 -10 + 16x = 22 + 0 -10 + 16x = 22 Add '10' to each side of the equation. -10 + 10 + 16x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = 22 + 10 16x = 22 + 10 Combine like terms: 22 + 10 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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