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Simplifying 11(x + -2) = 7x + -6 Reorder the terms: 11(-2 + x) = 7x + -6 (-2 * 11 + x * 11) = 7x + -6 (-22 + 11x) = 7x + -6 Reorder the terms: -22 + 11x = -6 + 7x Solving -22 + 11x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -22 + 11x + -7x = -6 + 7x + -7x Combine like terms: 11x + -7x = 4x -22 + 4x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -22 + 4x = -6 + 0 -22 + 4x = -6 Add '22' to each side of the equation. -22 + 22 + 4x = -6 + 22 Combine like terms: -22 + 22 = 0 0 + 4x = -6 + 22 4x = -6 + 22 Combine like terms: -6 + 22 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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