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Simplifying 9x + -1(6x + 4) = 4x + -43 Reorder the terms: 9x + -1(4 + 6x) = 4x + -43 9x + (4 * -1 + 6x * -1) = 4x + -43 9x + (-4 + -6x) = 4x + -43 Reorder the terms: -4 + 9x + -6x = 4x + -43 Combine like terms: 9x + -6x = 3x -4 + 3x = 4x + -43 Reorder the terms: -4 + 3x = -43 + 4x Solving -4 + 3x = -43 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 3x + -4x = -43 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = -43 + 4x + -4x Combine like terms: 4x + -4x = 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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