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Simplifying -3(4x + 3) + 44(6x + 1) = 43 Reorder the terms: -3(3 + 4x) + 44(6x + 1) = 43 (3 * -3 + 4x * -3) + 44(6x + 1) = 43 (-9 + -12x) + 44(6x + 1) = 43 Reorder the terms: -9 + -12x + 44(1 + 6x) = 43 -9 + -12x + (1 * 44 + 6x * 44) = 43 -9 + -12x + (44 + 264x) = 43 Reorder the terms: -9 + 44 + -12x + 264x = 43 Combine like terms: -9 + 44 = 35 35 + -12x + 264x = 43 Combine like terms: -12x + 264x = 252x 35 + 252x = 43 Solving 35 + 252x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 252x = 43 + -35 Combine like terms: 35 + -35 = 0 0 + 252x = 43 + -35 252x = 43 + -35 Combine like terms: 43 + -35 = 8 252x = 8 Divide each side by '252'. x = 0.03174603175 Simplifying x = 0.03174603175
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