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Simplifying -1(4x + 7) = -2 + 4x Reorder the terms: -1(7 + 4x) = -2 + 4x (7 * -1 + 4x * -1) = -2 + 4x (-7 + -4x) = -2 + 4x Solving -7 + -4x = -2 + 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. -7 + -4x + -4x = -2 + 4x + -4x Combine like terms: -4x + -4x = -8x -7 + -8x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -8x = -2 + 0 -7 + -8x = -2 Add '7' to each side of the equation. -7 + 7 + -8x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -2 + 7 -8x = -2 + 7 Combine like terms: -2 + 7 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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