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Simplifying 4(5X + -2) = -1(3 + -4X) + 7 Reorder the terms: 4(-2 + 5X) = -1(3 + -4X) + 7 (-2 * 4 + 5X * 4) = -1(3 + -4X) + 7 (-8 + 20X) = -1(3 + -4X) + 7 -8 + 20X = (3 * -1 + -4X * -1) + 7 -8 + 20X = (-3 + 4X) + 7 Reorder the terms: -8 + 20X = -3 + 7 + 4X Combine like terms: -3 + 7 = 4 -8 + 20X = 4 + 4X Solving -8 + 20X = 4 + 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. -8 + 20X + -4X = 4 + 4X + -4X Combine like terms: 20X + -4X = 16X -8 + 16X = 4 + 4X + -4X Combine like terms: 4X + -4X = 0 -8 + 16X = 4 + 0 -8 + 16X = 4 Add '8' to each side of the equation. -8 + 8 + 16X = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 16X = 4 + 8 16X = 4 + 8 Combine like terms: 4 + 8 = 12 16X = 12 Divide each side by '16'. X = 0.75 Simplifying X = 0.75
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