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Simplifying -4(5x + -2) + 3(7x + -5) + -3 = 8 + -9 Reorder the terms: -4(-2 + 5x) + 3(7x + -5) + -3 = 8 + -9 (-2 * -4 + 5x * -4) + 3(7x + -5) + -3 = 8 + -9 (8 + -20x) + 3(7x + -5) + -3 = 8 + -9 Reorder the terms: 8 + -20x + 3(-5 + 7x) + -3 = 8 + -9 8 + -20x + (-5 * 3 + 7x * 3) + -3 = 8 + -9 8 + -20x + (-15 + 21x) + -3 = 8 + -9 Reorder the terms: 8 + -15 + -3 + -20x + 21x = 8 + -9 Combine like terms: 8 + -15 = -7 -7 + -3 + -20x + 21x = 8 + -9 Combine like terms: -7 + -3 = -10 -10 + -20x + 21x = 8 + -9 Combine like terms: -20x + 21x = 1x -10 + 1x = 8 + -9 Combine like terms: 8 + -9 = -1 -10 + 1x = -1 Solving -10 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -1 + 10 1x = -1 + 10 Combine like terms: -1 + 10 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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