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Simplifying -4(5x + -5) + 3(7x + -2) + -3 = 5 + -2 Reorder the terms: -4(-5 + 5x) + 3(7x + -2) + -3 = 5 + -2 (-5 * -4 + 5x * -4) + 3(7x + -2) + -3 = 5 + -2 (20 + -20x) + 3(7x + -2) + -3 = 5 + -2 Reorder the terms: 20 + -20x + 3(-2 + 7x) + -3 = 5 + -2 20 + -20x + (-2 * 3 + 7x * 3) + -3 = 5 + -2 20 + -20x + (-6 + 21x) + -3 = 5 + -2 Reorder the terms: 20 + -6 + -3 + -20x + 21x = 5 + -2 Combine like terms: 20 + -6 = 14 14 + -3 + -20x + 21x = 5 + -2 Combine like terms: 14 + -3 = 11 11 + -20x + 21x = 5 + -2 Combine like terms: -20x + 21x = 1x 11 + 1x = 5 + -2 Combine like terms: 5 + -2 = 3 11 + 1x = 3 Solving 11 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 3 + -11 1x = 3 + -11 Combine like terms: 3 + -11 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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