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Simplifying -3(4 + x + 3) + 4(6x + 1) = 43 Reorder the terms: -3(4 + 3 + x) + 4(6x + 1) = 43 Combine like terms: 4 + 3 = 7 -3(7 + x) + 4(6x + 1) = 43 (7 * -3 + x * -3) + 4(6x + 1) = 43 (-21 + -3x) + 4(6x + 1) = 43 Reorder the terms: -21 + -3x + 4(1 + 6x) = 43 -21 + -3x + (1 * 4 + 6x * 4) = 43 -21 + -3x + (4 + 24x) = 43 Reorder the terms: -21 + 4 + -3x + 24x = 43 Combine like terms: -21 + 4 = -17 -17 + -3x + 24x = 43 Combine like terms: -3x + 24x = 21x -17 + 21x = 43 Solving -17 + 21x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 21x = 43 + 17 Combine like terms: -17 + 17 = 0 0 + 21x = 43 + 17 21x = 43 + 17 Combine like terms: 43 + 17 = 60 21x = 60 Divide each side by '21'. x = 2.857142857 Simplifying x = 2.857142857
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