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Simplifying 4(5x + -9) = -2(3x + 7) Reorder the terms: 4(-9 + 5x) = -2(3x + 7) (-9 * 4 + 5x * 4) = -2(3x + 7) (-36 + 20x) = -2(3x + 7) Reorder the terms: -36 + 20x = -2(7 + 3x) -36 + 20x = (7 * -2 + 3x * -2) -36 + 20x = (-14 + -6x) Solving -36 + 20x = -14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -36 + 20x + 6x = -14 + -6x + 6x Combine like terms: 20x + 6x = 26x -36 + 26x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + 26x = -14 + 0 -36 + 26x = -14 Add '36' to each side of the equation. -36 + 36 + 26x = -14 + 36 Combine like terms: -36 + 36 = 0 0 + 26x = -14 + 36 26x = -14 + 36 Combine like terms: -14 + 36 = 22 26x = 22 Divide each side by '26'. x = 0.8461538462 Simplifying x = 0.8461538462
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