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Simplifying 8(6x + -9) = 10(5x + -6) Reorder the terms: 8(-9 + 6x) = 10(5x + -6) (-9 * 8 + 6x * 8) = 10(5x + -6) (-72 + 48x) = 10(5x + -6) Reorder the terms: -72 + 48x = 10(-6 + 5x) -72 + 48x = (-6 * 10 + 5x * 10) -72 + 48x = (-60 + 50x) Solving -72 + 48x = -60 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -72 + 48x + -50x = -60 + 50x + -50x Combine like terms: 48x + -50x = -2x -72 + -2x = -60 + 50x + -50x Combine like terms: 50x + -50x = 0 -72 + -2x = -60 + 0 -72 + -2x = -60 Add '72' to each side of the equation. -72 + 72 + -2x = -60 + 72 Combine like terms: -72 + 72 = 0 0 + -2x = -60 + 72 -2x = -60 + 72 Combine like terms: -60 + 72 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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