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Simplifying -4(-2x + 2) + 8x = -1(5x + 7) Reorder the terms: -4(2 + -2x) + 8x = -1(5x + 7) (2 * -4 + -2x * -4) + 8x = -1(5x + 7) (-8 + 8x) + 8x = -1(5x + 7) Combine like terms: 8x + 8x = 16x -8 + 16x = -1(5x + 7) Reorder the terms: -8 + 16x = -1(7 + 5x) -8 + 16x = (7 * -1 + 5x * -1) -8 + 16x = (-7 + -5x) Solving -8 + 16x = -7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 16x + 5x = -7 + -5x + 5x Combine like terms: 16x + 5x = 21x -8 + 21x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 21x = -7 + 0 -8 + 21x = -7 Add '8' to each side of the equation. -8 + 8 + 21x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 21x = -7 + 8 21x = -7 + 8 Combine like terms: -7 + 8 = 1 21x = 1 Divide each side by '21'. x = 0.04761904762 Simplifying x = 0.04761904762
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