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Simplifying -4(-2x + 1) = 4(x + 7) Reorder the terms: -4(1 + -2x) = 4(x + 7) (1 * -4 + -2x * -4) = 4(x + 7) (-4 + 8x) = 4(x + 7) Reorder the terms: -4 + 8x = 4(7 + x) -4 + 8x = (7 * 4 + x * 4) -4 + 8x = (28 + 4x) Solving -4 + 8x = 28 + 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. -4 + 8x + -4x = 28 + 4x + -4x Combine like terms: 8x + -4x = 4x -4 + 4x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 4x = 28 + 0 -4 + 4x = 28 Add '4' to each side of the equation. -4 + 4 + 4x = 28 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 28 + 4 4x = 28 + 4 Combine like terms: 28 + 4 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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