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Simplifying -43 + -9x = 7x + 21 Reorder the terms: -43 + -9x = 21 + 7x Solving -43 + -9x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -43 + -9x + -7x = 21 + 7x + -7x Combine like terms: -9x + -7x = -16x -43 + -16x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -43 + -16x = 21 + 0 -43 + -16x = 21 Add '43' to each side of the equation. -43 + 43 + -16x = 21 + 43 Combine like terms: -43 + 43 = 0 0 + -16x = 21 + 43 -16x = 21 + 43 Combine like terms: 21 + 43 = 64 -16x = 64 Divide each side by '-16'. x = -4 Simplifying x = -4
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