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Simplifying -3(4x + 3 + 3) + 4(6x + 1) = 43 Reorder the terms: -3(3 + 3 + 4x) + 4(6x + 1) = 43 Combine like terms: 3 + 3 = 6 -3(6 + 4x) + 4(6x + 1) = 43 (6 * -3 + 4x * -3) + 4(6x + 1) = 43 (-18 + -12x) + 4(6x + 1) = 43 Reorder the terms: -18 + -12x + 4(1 + 6x) = 43 -18 + -12x + (1 * 4 + 6x * 4) = 43 -18 + -12x + (4 + 24x) = 43 Reorder the terms: -18 + 4 + -12x + 24x = 43 Combine like terms: -18 + 4 = -14 -14 + -12x + 24x = 43 Combine like terms: -12x + 24x = 12x -14 + 12x = 43 Solving -14 + 12x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 12x = 43 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 43 + 14 12x = 43 + 14 Combine like terms: 43 + 14 = 57 12x = 57 Divide each side by '12'. x = 4.75 Simplifying x = 4.75
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