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Simplifying -2(2X + -1) + 8X = 8 + 2(5X + -7) Reorder the terms: -2(-1 + 2X) + 8X = 8 + 2(5X + -7) (-1 * -2 + 2X * -2) + 8X = 8 + 2(5X + -7) (2 + -4X) + 8X = 8 + 2(5X + -7) Combine like terms: -4X + 8X = 4X 2 + 4X = 8 + 2(5X + -7) Reorder the terms: 2 + 4X = 8 + 2(-7 + 5X) 2 + 4X = 8 + (-7 * 2 + 5X * 2) 2 + 4X = 8 + (-14 + 10X) Combine like terms: 8 + -14 = -6 2 + 4X = -6 + 10X Solving 2 + 4X = -6 + 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. 2 + 4X + -10X = -6 + 10X + -10X Combine like terms: 4X + -10X = -6X 2 + -6X = -6 + 10X + -10X Combine like terms: 10X + -10X = 0 2 + -6X = -6 + 0 2 + -6X = -6 Add '-2' to each side of the equation. 2 + -2 + -6X = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -6X = -6 + -2 -6X = -6 + -2 Combine like terms: -6 + -2 = -8 -6X = -8 Divide each side by '-6'. X = 1.333333333 Simplifying X = 1.333333333
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