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Simplifying 5x + 10(2x + -9) = -4(5x + 3) Reorder the terms: 5x + 10(-9 + 2x) = -4(5x + 3) 5x + (-9 * 10 + 2x * 10) = -4(5x + 3) 5x + (-90 + 20x) = -4(5x + 3) Reorder the terms: -90 + 5x + 20x = -4(5x + 3) Combine like terms: 5x + 20x = 25x -90 + 25x = -4(5x + 3) Reorder the terms: -90 + 25x = -4(3 + 5x) -90 + 25x = (3 * -4 + 5x * -4) -90 + 25x = (-12 + -20x) Solving -90 + 25x = -12 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -90 + 25x + 20x = -12 + -20x + 20x Combine like terms: 25x + 20x = 45x -90 + 45x = -12 + -20x + 20x Combine like terms: -20x + 20x = 0 -90 + 45x = -12 + 0 -90 + 45x = -12 Add '90' to each side of the equation. -90 + 90 + 45x = -12 + 90 Combine like terms: -90 + 90 = 0 0 + 45x = -12 + 90 45x = -12 + 90 Combine like terms: -12 + 90 = 78 45x = 78 Divide each side by '45'. x = 1.733333333 Simplifying x = 1.733333333
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