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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 = -36x -13 + -36x = 43 Solving -13 + -36x = 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 + -36x = 43 + 13 Combine like terms: -13 + 13 = 0 0 + -36x = 43 + 13 -36x = 43 + 13 Combine like terms: 43 + 13 = 56 -36x = 56 Divide each side by '-36'. x = -1.555555556 Simplifying x = -1.555555556
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