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Simplifying 9x + -1(2x + 4) = 8x + -43 Reorder the terms: 9x + -1(4 + 2x) = 8x + -43 9x + (4 * -1 + 2x * -1) = 8x + -43 9x + (-4 + -2x) = 8x + -43 Reorder the terms: -4 + 9x + -2x = 8x + -43 Combine like terms: 9x + -2x = 7x -4 + 7x = 8x + -43 Reorder the terms: -4 + 7x = -43 + 8x Solving -4 + 7x = -43 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 7x + -8x = -43 + 8x + -8x Combine like terms: 7x + -8x = -1x -4 + -1x = -43 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -1x = -43 + 0 -4 + -1x = -43 Add '4' to each side of the equation. -4 + 4 + -1x = -43 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -43 + 4 -1x = -43 + 4 Combine like terms: -43 + 4 = -39 -1x = -39 Divide each side by '-1'. x = 39 Simplifying x = 39
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