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Simplifying 2(x + -9) = -5x + -46 Reorder the terms: 2(-9 + x) = -5x + -46 (-9 * 2 + x * 2) = -5x + -46 (-18 + 2x) = -5x + -46 Reorder the terms: -18 + 2x = -46 + -5x Solving -18 + 2x = -46 + -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. -18 + 2x + 5x = -46 + -5x + 5x Combine like terms: 2x + 5x = 7x -18 + 7x = -46 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 7x = -46 + 0 -18 + 7x = -46 Add '18' to each side of the equation. -18 + 18 + 7x = -46 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = -46 + 18 7x = -46 + 18 Combine like terms: -46 + 18 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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