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Simplifying 3x + -5 = -2(1 + -7x) Reorder the terms: -5 + 3x = -2(1 + -7x) -5 + 3x = (1 * -2 + -7x * -2) -5 + 3x = (-2 + 14x) Solving -5 + 3x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -5 + 3x + -14x = -2 + 14x + -14x Combine like terms: 3x + -14x = -11x -5 + -11x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -5 + -11x = -2 + 0 -5 + -11x = -2 Add '5' to each side of the equation. -5 + 5 + -11x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = -2 + 5 -11x = -2 + 5 Combine like terms: -2 + 5 = 3 -11x = 3 Divide each side by '-11'. x = -0.2727272727 Simplifying x = -0.2727272727
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