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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 + -12x = 4 + 43 + 24x Combine like terms: 4 + 43 = 47 -9 + -12x = 47 + 24x Solving -9 + -12x = 47 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -9 + -12x + -24x = 47 + 24x + -24x Combine like terms: -12x + -24x = -36x -9 + -36x = 47 + 24x + -24x Combine like terms: 24x + -24x = 0 -9 + -36x = 47 + 0 -9 + -36x = 47 Add '9' to each side of the equation. -9 + 9 + -36x = 47 + 9 Combine like terms: -9 + 9 = 0 0 + -36x = 47 + 9 -36x = 47 + 9 Combine like terms: 47 + 9 = 56 -36x = 56 Divide each side by '-36'. x = -1.555555556 Simplifying x = -1.555555556
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