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Simplifying -2(3x + 1) + -7 = 5(x + -1) Reorder the terms: -2(1 + 3x) + -7 = 5(x + -1) (1 * -2 + 3x * -2) + -7 = 5(x + -1) (-2 + -6x) + -7 = 5(x + -1) Reorder the terms: -2 + -7 + -6x = 5(x + -1) Combine like terms: -2 + -7 = -9 -9 + -6x = 5(x + -1) Reorder the terms: -9 + -6x = 5(-1 + x) -9 + -6x = (-1 * 5 + x * 5) -9 + -6x = (-5 + 5x) Solving -9 + -6x = -5 + 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. -9 + -6x + -5x = -5 + 5x + -5x Combine like terms: -6x + -5x = -11x -9 + -11x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -11x = -5 + 0 -9 + -11x = -5 Add '9' to each side of the equation. -9 + 9 + -11x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -11x = -5 + 9 -11x = -5 + 9 Combine like terms: -5 + 9 = 4 -11x = 4 Divide each side by '-11'. x = -0.3636363636 Simplifying x = -0.3636363636
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