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Simplifying (-5)(4 + -5x) = 7x + -3(3x + -9) (4 * -5 + -5x * -5) = 7x + -3(3x + -9) (-20 + 25x) = 7x + -3(3x + -9) Reorder the terms: -20 + 25x = 7x + -3(-9 + 3x) -20 + 25x = 7x + (-9 * -3 + 3x * -3) -20 + 25x = 7x + (27 + -9x) Reorder the terms: -20 + 25x = 27 + 7x + -9x Combine like terms: 7x + -9x = -2x -20 + 25x = 27 + -2x Solving -20 + 25x = 27 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 25x + 2x = 27 + -2x + 2x Combine like terms: 25x + 2x = 27x -20 + 27x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 27x = 27 + 0 -20 + 27x = 27 Add '20' to each side of the equation. -20 + 20 + 27x = 27 + 20 Combine like terms: -20 + 20 = 0 0 + 27x = 27 + 20 27x = 27 + 20 Combine like terms: 27 + 20 = 47 27x = 47 Divide each side by '27'. x = 1.740740741 Simplifying x = 1.740740741
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