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Simplifying 5x + -6(x + 6) = -43 Reorder the terms: 5x + -6(6 + x) = -43 5x + (6 * -6 + x * -6) = -43 5x + (-36 + -6x) = -43 Reorder the terms: -36 + 5x + -6x = -43 Combine like terms: 5x + -6x = -1x -36 + -1x = -43 Solving -36 + -1x = -43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1x = -43 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = -43 + 36 -1x = -43 + 36 Combine like terms: -43 + 36 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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