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Simplifying 9(2x + -3) + 5 = 5(6 + -7x) Reorder the terms: 9(-3 + 2x) + 5 = 5(6 + -7x) (-3 * 9 + 2x * 9) + 5 = 5(6 + -7x) (-27 + 18x) + 5 = 5(6 + -7x) Reorder the terms: -27 + 5 + 18x = 5(6 + -7x) Combine like terms: -27 + 5 = -22 -22 + 18x = 5(6 + -7x) -22 + 18x = (6 * 5 + -7x * 5) -22 + 18x = (30 + -35x) Solving -22 + 18x = 30 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -22 + 18x + 35x = 30 + -35x + 35x Combine like terms: 18x + 35x = 53x -22 + 53x = 30 + -35x + 35x Combine like terms: -35x + 35x = 0 -22 + 53x = 30 + 0 -22 + 53x = 30 Add '22' to each side of the equation. -22 + 22 + 53x = 30 + 22 Combine like terms: -22 + 22 = 0 0 + 53x = 30 + 22 53x = 30 + 22 Combine like terms: 30 + 22 = 52 53x = 52 Divide each side by '53'. x = 0.9811320755 Simplifying x = 0.9811320755
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