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Simplifying 7x + -43 = 5(x + -9) Reorder the terms: -43 + 7x = 5(x + -9) Reorder the terms: -43 + 7x = 5(-9 + x) -43 + 7x = (-9 * 5 + x * 5) -43 + 7x = (-45 + 5x) Solving -43 + 7x = -45 + 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. -43 + 7x + -5x = -45 + 5x + -5x Combine like terms: 7x + -5x = 2x -43 + 2x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -43 + 2x = -45 + 0 -43 + 2x = -45 Add '43' to each side of the equation. -43 + 43 + 2x = -45 + 43 Combine like terms: -43 + 43 = 0 0 + 2x = -45 + 43 2x = -45 + 43 Combine like terms: -45 + 43 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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