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Simplifying 3(12x + -1) + 4(8x + 2) = 33 Reorder the terms: 3(-1 + 12x) + 4(8x + 2) = 33 (-1 * 3 + 12x * 3) + 4(8x + 2) = 33 (-3 + 36x) + 4(8x + 2) = 33 Reorder the terms: -3 + 36x + 4(2 + 8x) = 33 -3 + 36x + (2 * 4 + 8x * 4) = 33 -3 + 36x + (8 + 32x) = 33 Reorder the terms: -3 + 8 + 36x + 32x = 33 Combine like terms: -3 + 8 = 5 5 + 36x + 32x = 33 Combine like terms: 36x + 32x = 68x 5 + 68x = 33 Solving 5 + 68x = 33 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 + 68x = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 68x = 33 + -5 68x = 33 + -5 Combine like terms: 33 + -5 = 28 68x = 28 Divide each side by '68'. x = 0.4117647059 Simplifying x = 0.4117647059
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