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Simplifying 5(4x + -1) + -5(2x + -17) = 3(3x + 2) + -4 Reorder the terms: 5(-1 + 4x) + -5(2x + -17) = 3(3x + 2) + -4 (-1 * 5 + 4x * 5) + -5(2x + -17) = 3(3x + 2) + -4 (-5 + 20x) + -5(2x + -17) = 3(3x + 2) + -4 Reorder the terms: -5 + 20x + -5(-17 + 2x) = 3(3x + 2) + -4 -5 + 20x + (-17 * -5 + 2x * -5) = 3(3x + 2) + -4 -5 + 20x + (85 + -10x) = 3(3x + 2) + -4 Reorder the terms: -5 + 85 + 20x + -10x = 3(3x + 2) + -4 Combine like terms: -5 + 85 = 80 80 + 20x + -10x = 3(3x + 2) + -4 Combine like terms: 20x + -10x = 10x 80 + 10x = 3(3x + 2) + -4 Reorder the terms: 80 + 10x = 3(2 + 3x) + -4 80 + 10x = (2 * 3 + 3x * 3) + -4 80 + 10x = (6 + 9x) + -4 Reorder the terms: 80 + 10x = 6 + -4 + 9x Combine like terms: 6 + -4 = 2 80 + 10x = 2 + 9x Solving 80 + 10x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 80 + 10x + -9x = 2 + 9x + -9x Combine like terms: 10x + -9x = 1x 80 + 1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 80 + 1x = 2 + 0 80 + 1x = 2 Add '-80' to each side of the equation. 80 + -80 + 1x = 2 + -80 Combine like terms: 80 + -80 = 0 0 + 1x = 2 + -80 1x = 2 + -80 Combine like terms: 2 + -80 = -78 1x = -78 Divide each side by '1'. x = -78 Simplifying x = -78
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