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