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Simplifying -1(5x + 6) = 2(3x + 8) Reorder the terms: -1(6 + 5x) = 2(3x + 8) (6 * -1 + 5x * -1) = 2(3x + 8) (-6 + -5x) = 2(3x + 8) Reorder the terms: -6 + -5x = 2(8 + 3x) -6 + -5x = (8 * 2 + 3x * 2) -6 + -5x = (16 + 6x) Solving -6 + -5x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -5x + -6x = 16 + 6x + -6x Combine like terms: -5x + -6x = -11x -6 + -11x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -11x = 16 + 0 -6 + -11x = 16 Add '6' to each side of the equation. -6 + 6 + -11x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -11x = 16 + 6 -11x = 16 + 6 Combine like terms: 16 + 6 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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