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Simplifying 9(5x + -6) = 8(9 + -2x) Reorder the terms: 9(-6 + 5x) = 8(9 + -2x) (-6 * 9 + 5x * 9) = 8(9 + -2x) (-54 + 45x) = 8(9 + -2x) -54 + 45x = (9 * 8 + -2x * 8) -54 + 45x = (72 + -16x) Solving -54 + 45x = 72 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -54 + 45x + 16x = 72 + -16x + 16x Combine like terms: 45x + 16x = 61x -54 + 61x = 72 + -16x + 16x Combine like terms: -16x + 16x = 0 -54 + 61x = 72 + 0 -54 + 61x = 72 Add '54' to each side of the equation. -54 + 54 + 61x = 72 + 54 Combine like terms: -54 + 54 = 0 0 + 61x = 72 + 54 61x = 72 + 54 Combine like terms: 72 + 54 = 126 61x = 126 Divide each side by '61'. x = 2.06557377 Simplifying x = 2.06557377
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