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Simplifying 8x + -2(X + -8) = 6(X + 1) + 8 Reorder the terms: 8x + -2(-8 + X) = 6(X + 1) + 8 8x + (-8 * -2 + X * -2) = 6(X + 1) + 8 8x + (16 + -2X) = 6(X + 1) + 8 Reorder the terms: 16 + -2X + 8x = 6(X + 1) + 8 Reorder the terms: 16 + -2X + 8x = 6(1 + X) + 8 16 + -2X + 8x = (1 * 6 + X * 6) + 8 16 + -2X + 8x = (6 + 6X) + 8 Reorder the terms: 16 + -2X + 8x = 6 + 8 + 6X Combine like terms: 6 + 8 = 14 16 + -2X + 8x = 14 + 6X Solving 16 + -2X + 8x = 14 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 16 + -2X + -6X + 8x = 14 + 6X + -6X Combine like terms: -2X + -6X = -8X 16 + -8X + 8x = 14 + 6X + -6X Combine like terms: 6X + -6X = 0 16 + -8X + 8x = 14 + 0 16 + -8X + 8x = 14 Add '-16' to each side of the equation. 16 + -8X + -16 + 8x = 14 + -16 Reorder the terms: 16 + -16 + -8X + 8x = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -8X + 8x = 14 + -16 -8X + 8x = 14 + -16 Combine like terms: 14 + -16 = -2 -8X + 8x = -2 Add '-8x' to each side of the equation. -8X + 8x + -8x = -2 + -8x Combine like terms: 8x + -8x = 0 -8X + 0 = -2 + -8x -8X = -2 + -8x Divide each side by '-8'. X = 0.25 + x Simplifying X = 0.25 + x
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