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Simplifying 4(-1 + 7X) + -4(1 + 6X) = 2X + 3X (-1 * 4 + 7X * 4) + -4(1 + 6X) = 2X + 3X (-4 + 28X) + -4(1 + 6X) = 2X + 3X -4 + 28X + (1 * -4 + 6X * -4) = 2X + 3X -4 + 28X + (-4 + -24X) = 2X + 3X Reorder the terms: -4 + -4 + 28X + -24X = 2X + 3X Combine like terms: -4 + -4 = -8 -8 + 28X + -24X = 2X + 3X Combine like terms: 28X + -24X = 4X -8 + 4X = 2X + 3X Combine like terms: 2X + 3X = 5X -8 + 4X = 5X Solving -8 + 4X = 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 + 4X + -5X = 5X + -5X Combine like terms: 4X + -5X = -1X -8 + -1X = 5X + -5X Combine like terms: 5X + -5X = 0 -8 + -1X = 0 Add '8' to each side of the equation. -8 + 8 + -1X = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1X = 0 + 8 -1X = 0 + 8 Combine like terms: 0 + 8 = 8 -1X = 8 Divide each side by '-1'. X = -8 Simplifying X = -8
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