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Simplifying 75x + -5(3 + -1x) = 6(20x + 7) 75x + (3 * -5 + -1x * -5) = 6(20x + 7) 75x + (-15 + 5x) = 6(20x + 7) Reorder the terms: -15 + 75x + 5x = 6(20x + 7) Combine like terms: 75x + 5x = 80x -15 + 80x = 6(20x + 7) Reorder the terms: -15 + 80x = 6(7 + 20x) -15 + 80x = (7 * 6 + 20x * 6) -15 + 80x = (42 + 120x) Solving -15 + 80x = 42 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. -15 + 80x + -120x = 42 + 120x + -120x Combine like terms: 80x + -120x = -40x -15 + -40x = 42 + 120x + -120x Combine like terms: 120x + -120x = 0 -15 + -40x = 42 + 0 -15 + -40x = 42 Add '15' to each side of the equation. -15 + 15 + -40x = 42 + 15 Combine like terms: -15 + 15 = 0 0 + -40x = 42 + 15 -40x = 42 + 15 Combine like terms: 42 + 15 = 57 -40x = 57 Divide each side by '-40'. x = -1.425 Simplifying x = -1.425
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