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Simplifying -2(x + 9) = 3x + -43 Reorder the terms: -2(9 + x) = 3x + -43 (9 * -2 + x * -2) = 3x + -43 (-18 + -2x) = 3x + -43 Reorder the terms: -18 + -2x = -43 + 3x Solving -18 + -2x = -43 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + -2x + -3x = -43 + 3x + -3x Combine like terms: -2x + -3x = -5x -18 + -5x = -43 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -5x = -43 + 0 -18 + -5x = -43 Add '18' to each side of the equation. -18 + 18 + -5x = -43 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = -43 + 18 -5x = -43 + 18 Combine like terms: -43 + 18 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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