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Simplifying -3(4x + 3) + 5(6x + 1) = 43 Reorder the terms: -3(3 + 4x) + 5(6x + 1) = 43 (3 * -3 + 4x * -3) + 5(6x + 1) = 43 (-9 + -12x) + 5(6x + 1) = 43 Reorder the terms: -9 + -12x + 5(1 + 6x) = 43 -9 + -12x + (1 * 5 + 6x * 5) = 43 -9 + -12x + (5 + 30x) = 43 Reorder the terms: -9 + 5 + -12x + 30x = 43 Combine like terms: -9 + 5 = -4 -4 + -12x + 30x = 43 Combine like terms: -12x + 30x = 18x -4 + 18x = 43 Solving -4 + 18x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 18x = 43 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 43 + 4 18x = 43 + 4 Combine like terms: 43 + 4 = 47 18x = 47 Divide each side by '18'. x = 2.611111111 Simplifying x = 2.611111111
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