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Simplifying 4(5x + -9) = 2(x + 7) Reorder the terms: 4(-9 + 5x) = 2(x + 7) (-9 * 4 + 5x * 4) = 2(x + 7) (-36 + 20x) = 2(x + 7) Reorder the terms: -36 + 20x = 2(7 + x) -36 + 20x = (7 * 2 + x * 2) -36 + 20x = (14 + 2x) Solving -36 + 20x = 14 + 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. -36 + 20x + -2x = 14 + 2x + -2x Combine like terms: 20x + -2x = 18x -36 + 18x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 18x = 14 + 0 -36 + 18x = 14 Add '36' to each side of the equation. -36 + 36 + 18x = 14 + 36 Combine like terms: -36 + 36 = 0 0 + 18x = 14 + 36 18x = 14 + 36 Combine like terms: 14 + 36 = 50 18x = 50 Divide each side by '18'. x = 2.777777778 Simplifying x = 2.777777778
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