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Simplifying -7(-2x + 1) = -13(x + 1) Reorder the terms: -7(1 + -2x) = -13(x + 1) (1 * -7 + -2x * -7) = -13(x + 1) (-7 + 14x) = -13(x + 1) Reorder the terms: -7 + 14x = -13(1 + x) -7 + 14x = (1 * -13 + x * -13) -7 + 14x = (-13 + -13x) Solving -7 + 14x = -13 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -7 + 14x + 13x = -13 + -13x + 13x Combine like terms: 14x + 13x = 27x -7 + 27x = -13 + -13x + 13x Combine like terms: -13x + 13x = 0 -7 + 27x = -13 + 0 -7 + 27x = -13 Add '7' to each side of the equation. -7 + 7 + 27x = -13 + 7 Combine like terms: -7 + 7 = 0 0 + 27x = -13 + 7 27x = -13 + 7 Combine like terms: -13 + 7 = -6 27x = -6 Divide each side by '27'. x = -0.2222222222 Simplifying x = -0.2222222222
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