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Simplifying -3(4x + 3) + 4(16x + 1) = 43 Reorder the terms: -3(3 + 4x) + 4(16x + 1) = 43 (3 * -3 + 4x * -3) + 4(16x + 1) = 43 (-9 + -12x) + 4(16x + 1) = 43 Reorder the terms: -9 + -12x + 4(1 + 16x) = 43 -9 + -12x + (1 * 4 + 16x * 4) = 43 -9 + -12x + (4 + 64x) = 43 Reorder the terms: -9 + 4 + -12x + 64x = 43 Combine like terms: -9 + 4 = -5 -5 + -12x + 64x = 43 Combine like terms: -12x + 64x = 52x -5 + 52x = 43 Solving -5 + 52x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 52x = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 52x = 43 + 5 52x = 43 + 5 Combine like terms: 43 + 5 = 48 52x = 48 Divide each side by '52'. x = 0.9230769231 Simplifying x = 0.9230769231
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