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Simplifying -2(-4 + -5x) = 1 + 9x (-4 * -2 + -5x * -2) = 1 + 9x (8 + 10x) = 1 + 9x Solving 8 + 10x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 10x + -9x = 1 + 9x + -9x Combine like terms: 10x + -9x = 1x 8 + 1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + 1x = 1 + 0 8 + 1x = 1 Add '-8' to each side of the equation. 8 + -8 + 1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 1 + -8 1x = 1 + -8 Combine like terms: 1 + -8 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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