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Simplifying -4(5x + -6) + 3(7x + -7) + -9 = 2 + -6 Reorder the terms: -4(-6 + 5x) + 3(7x + -7) + -9 = 2 + -6 (-6 * -4 + 5x * -4) + 3(7x + -7) + -9 = 2 + -6 (24 + -20x) + 3(7x + -7) + -9 = 2 + -6 Reorder the terms: 24 + -20x + 3(-7 + 7x) + -9 = 2 + -6 24 + -20x + (-7 * 3 + 7x * 3) + -9 = 2 + -6 24 + -20x + (-21 + 21x) + -9 = 2 + -6 Reorder the terms: 24 + -21 + -9 + -20x + 21x = 2 + -6 Combine like terms: 24 + -21 = 3 3 + -9 + -20x + 21x = 2 + -6 Combine like terms: 3 + -9 = -6 -6 + -20x + 21x = 2 + -6 Combine like terms: -20x + 21x = 1x -6 + 1x = 2 + -6 Combine like terms: 2 + -6 = -4 -6 + 1x = -4 Solving -6 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -4 + 6 1x = -4 + 6 Combine like terms: -4 + 6 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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