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Simplifying -2(11 + -1x) = 5(x + 7) (11 * -2 + -1x * -2) = 5(x + 7) (-22 + 2x) = 5(x + 7) Reorder the terms: -22 + 2x = 5(7 + x) -22 + 2x = (7 * 5 + x * 5) -22 + 2x = (35 + 5x) Solving -22 + 2x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -22 + 2x + -5x = 35 + 5x + -5x Combine like terms: 2x + -5x = -3x -22 + -3x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + -3x = 35 + 0 -22 + -3x = 35 Add '22' to each side of the equation. -22 + 22 + -3x = 35 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = 35 + 22 -3x = 35 + 22 Combine like terms: 35 + 22 = 57 -3x = 57 Divide each side by '-3'. x = -19 Simplifying x = -19
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