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Simplifying -1(5x + 7) + 1 = -2(1 + -4x) Reorder the terms: -1(7 + 5x) + 1 = -2(1 + -4x) (7 * -1 + 5x * -1) + 1 = -2(1 + -4x) (-7 + -5x) + 1 = -2(1 + -4x) Reorder the terms: -7 + 1 + -5x = -2(1 + -4x) Combine like terms: -7 + 1 = -6 -6 + -5x = -2(1 + -4x) -6 + -5x = (1 * -2 + -4x * -2) -6 + -5x = (-2 + 8x) Solving -6 + -5x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + -5x + -8x = -2 + 8x + -8x Combine like terms: -5x + -8x = -13x -6 + -13x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -13x = -2 + 0 -6 + -13x = -2 Add '6' to each side of the equation. -6 + 6 + -13x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = -2 + 6 -13x = -2 + 6 Combine like terms: -2 + 6 = 4 -13x = 4 Divide each side by '-13'. x = -0.3076923077 Simplifying x = -0.3076923077
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