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Simplifying -9(x + 5) = -10x Reorder the terms: -9(5 + x) = -10x (5 * -9 + x * -9) = -10x (-45 + -9x) = -10x Solving -45 + -9x = -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. -45 + -9x + 10x = -10x + 10x Combine like terms: -9x + 10x = 1x -45 + 1x = -10x + 10x Combine like terms: -10x + 10x = 0 -45 + 1x = 0 Add '45' to each side of the equation. -45 + 45 + 1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = 0 + 45 1x = 0 + 45 Combine like terms: 0 + 45 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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