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Simplifying 5(4x + -1) + 3(5 + -3x) + -2(5x + 3) = -2 Reorder the terms: 5(-1 + 4x) + 3(5 + -3x) + -2(5x + 3) = -2 (-1 * 5 + 4x * 5) + 3(5 + -3x) + -2(5x + 3) = -2 (-5 + 20x) + 3(5 + -3x) + -2(5x + 3) = -2 -5 + 20x + (5 * 3 + -3x * 3) + -2(5x + 3) = -2 -5 + 20x + (15 + -9x) + -2(5x + 3) = -2 Reorder the terms: -5 + 20x + 15 + -9x + -2(3 + 5x) = -2 -5 + 20x + 15 + -9x + (3 * -2 + 5x * -2) = -2 -5 + 20x + 15 + -9x + (-6 + -10x) = -2 Reorder the terms: -5 + 15 + -6 + 20x + -9x + -10x = -2 Combine like terms: -5 + 15 = 10 10 + -6 + 20x + -9x + -10x = -2 Combine like terms: 10 + -6 = 4 4 + 20x + -9x + -10x = -2 Combine like terms: 20x + -9x = 11x 4 + 11x + -10x = -2 Combine like terms: 11x + -10x = 1x 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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