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Simplifying -3(4x + 3) + 4(6x + -1) = 43 Reorder the terms: -3(3 + 4x) + 4(6x + -1) = 43 (3 * -3 + 4x * -3) + 4(6x + -1) = 43 (-9 + -12x) + 4(6x + -1) = 43 Reorder the terms: -9 + -12x + 4(-1 + 6x) = 43 -9 + -12x + (-1 * 4 + 6x * 4) = 43 -9 + -12x + (-4 + 24x) = 43 Reorder the terms: -9 + -4 + -12x + 24x = 43 Combine like terms: -9 + -4 = -13 -13 + -12x + 24x = 43 Combine like terms: -12x + 24x = 12x -13 + 12x = 43 Solving -13 + 12x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 12x = 43 + 13 Combine like terms: -13 + 13 = 0 0 + 12x = 43 + 13 12x = 43 + 13 Combine like terms: 43 + 13 = 56 12x = 56 Divide each side by '12'. x = 4.666666667 Simplifying x = 4.666666667
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