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Simplifying -3(4x + 3) + 4(6x + 1) + 4(6x + 1) = 43 Reorder the terms: -3(3 + 4x) + 4(6x + 1) + 4(6x + 1) = 43 (3 * -3 + 4x * -3) + 4(6x + 1) + 4(6x + 1) = 43 (-9 + -12x) + 4(6x + 1) + 4(6x + 1) = 43 Reorder the terms: -9 + -12x + 4(1 + 6x) + 4(6x + 1) = 43 -9 + -12x + (1 * 4 + 6x * 4) + 4(6x + 1) = 43 -9 + -12x + (4 + 24x) + 4(6x + 1) = 43 Reorder the terms: -9 + -12x + 4 + 24x + 4(1 + 6x) = 43 -9 + -12x + 4 + 24x + (1 * 4 + 6x * 4) = 43 -9 + -12x + 4 + 24x + (4 + 24x) = 43 Reorder the terms: -9 + 4 + 4 + -12x + 24x + 24x = 43 Combine like terms: -9 + 4 = -5 -5 + 4 + -12x + 24x + 24x = 43 Combine like terms: -5 + 4 = -1 -1 + -12x + 24x + 24x = 43 Combine like terms: -12x + 24x = 12x -1 + 12x + 24x = 43 Combine like terms: 12x + 24x = 36x -1 + 36x = 43 Solving -1 + 36x = 43 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 + 36x = 43 + 1 Combine like terms: -1 + 1 = 0 0 + 36x = 43 + 1 36x = 43 + 1 Combine like terms: 43 + 1 = 44 36x = 44 Divide each side by '36'. x = 1.222222222 Simplifying x = 1.222222222
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