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Simplifying -3(4x + 3) = 43 + -6x + -1 Reorder the terms: -3(3 + 4x) = 43 + -6x + -1 (3 * -3 + 4x * -3) = 43 + -6x + -1 (-9 + -12x) = 43 + -6x + -1 Reorder the terms: -9 + -12x = 43 + -1 + -6x Combine like terms: 43 + -1 = 42 -9 + -12x = 42 + -6x Solving -9 + -12x = 42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -9 + -12x + 6x = 42 + -6x + 6x Combine like terms: -12x + 6x = -6x -9 + -6x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + -6x = 42 + 0 -9 + -6x = 42 Add '9' to each side of the equation. -9 + 9 + -6x = 42 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = 42 + 9 -6x = 42 + 9 Combine like terms: 42 + 9 = 51 -6x = 51 Divide each side by '-6'. x = -8.5 Simplifying x = -8.5
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