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Simplifying -1(-4x + 1) = -1(7 + 4x) Reorder the terms: -1(1 + -4x) = -1(7 + 4x) (1 * -1 + -4x * -1) = -1(7 + 4x) (-1 + 4x) = -1(7 + 4x) -1 + 4x = (7 * -1 + 4x * -1) -1 + 4x = (-7 + -4x) Solving -1 + 4x = -7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + 4x + 4x = -7 + -4x + 4x Combine like terms: 4x + 4x = 8x -1 + 8x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 8x = -7 + 0 -1 + 8x = -7 Add '1' to each side of the equation. -1 + 1 + 8x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = -7 + 1 8x = -7 + 1 Combine like terms: -7 + 1 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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