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Simplifying 2x + -43 = -9(x + 6) Reorder the terms: -43 + 2x = -9(x + 6) Reorder the terms: -43 + 2x = -9(6 + x) -43 + 2x = (6 * -9 + x * -9) -43 + 2x = (-54 + -9x) Solving -43 + 2x = -54 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -43 + 2x + 9x = -54 + -9x + 9x Combine like terms: 2x + 9x = 11x -43 + 11x = -54 + -9x + 9x Combine like terms: -9x + 9x = 0 -43 + 11x = -54 + 0 -43 + 11x = -54 Add '43' to each side of the equation. -43 + 43 + 11x = -54 + 43 Combine like terms: -43 + 43 = 0 0 + 11x = -54 + 43 11x = -54 + 43 Combine like terms: -54 + 43 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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