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Simplifying -3(4x + 3) + 4(8x + 2) = 33 Reorder the terms: -3(3 + 4x) + 4(8x + 2) = 33 (3 * -3 + 4x * -3) + 4(8x + 2) = 33 (-9 + -12x) + 4(8x + 2) = 33 Reorder the terms: -9 + -12x + 4(2 + 8x) = 33 -9 + -12x + (2 * 4 + 8x * 4) = 33 -9 + -12x + (8 + 32x) = 33 Reorder the terms: -9 + 8 + -12x + 32x = 33 Combine like terms: -9 + 8 = -1 -1 + -12x + 32x = 33 Combine like terms: -12x + 32x = 20x -1 + 20x = 33 Solving -1 + 20x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 20x = 33 + 1 Combine like terms: -1 + 1 = 0 0 + 20x = 33 + 1 20x = 33 + 1 Combine like terms: 33 + 1 = 34 20x = 34 Divide each side by '20'. x = 1.7 Simplifying x = 1.7
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