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Simplifying -8(4 + -2X) + -5 = 43 + 8X (4 * -8 + -2X * -8) + -5 = 43 + 8X (-32 + 16X) + -5 = 43 + 8X Reorder the terms: -32 + -5 + 16X = 43 + 8X Combine like terms: -32 + -5 = -37 -37 + 16X = 43 + 8X Solving -37 + 16X = 43 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. -37 + 16X + -8X = 43 + 8X + -8X Combine like terms: 16X + -8X = 8X -37 + 8X = 43 + 8X + -8X Combine like terms: 8X + -8X = 0 -37 + 8X = 43 + 0 -37 + 8X = 43 Add '37' to each side of the equation. -37 + 37 + 8X = 43 + 37 Combine like terms: -37 + 37 = 0 0 + 8X = 43 + 37 8X = 43 + 37 Combine like terms: 43 + 37 = 80 8X = 80 Divide each side by '8'. X = 10 Simplifying X = 10
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