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Simplifying 3(4x + -2) + -1(5x + 6) = 44 Reorder the terms: 3(-2 + 4x) + -1(5x + 6) = 44 (-2 * 3 + 4x * 3) + -1(5x + 6) = 44 (-6 + 12x) + -1(5x + 6) = 44 Reorder the terms: -6 + 12x + -1(6 + 5x) = 44 -6 + 12x + (6 * -1 + 5x * -1) = 44 -6 + 12x + (-6 + -5x) = 44 Reorder the terms: -6 + -6 + 12x + -5x = 44 Combine like terms: -6 + -6 = -12 -12 + 12x + -5x = 44 Combine like terms: 12x + -5x = 7x -12 + 7x = 44 Solving -12 + 7x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7x = 44 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 44 + 12 7x = 44 + 12 Combine like terms: 44 + 12 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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