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Simplifying -7(x + 4) + -3(-2 + -6x) = -11 Reorder the terms: -7(4 + x) + -3(-2 + -6x) = -11 (4 * -7 + x * -7) + -3(-2 + -6x) = -11 (-28 + -7x) + -3(-2 + -6x) = -11 -28 + -7x + (-2 * -3 + -6x * -3) = -11 -28 + -7x + (6 + 18x) = -11 Reorder the terms: -28 + 6 + -7x + 18x = -11 Combine like terms: -28 + 6 = -22 -22 + -7x + 18x = -11 Combine like terms: -7x + 18x = 11x -22 + 11x = -11 Solving -22 + 11x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 11x = -11 + 22 Combine like terms: -22 + 22 = 0 0 + 11x = -11 + 22 11x = -11 + 22 Combine like terms: -11 + 22 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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