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Simplifying 9(3x + -8) = 2(2x + -13) Reorder the terms: 9(-8 + 3x) = 2(2x + -13) (-8 * 9 + 3x * 9) = 2(2x + -13) (-72 + 27x) = 2(2x + -13) Reorder the terms: -72 + 27x = 2(-13 + 2x) -72 + 27x = (-13 * 2 + 2x * 2) -72 + 27x = (-26 + 4x) Solving -72 + 27x = -26 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -72 + 27x + -4x = -26 + 4x + -4x Combine like terms: 27x + -4x = 23x -72 + 23x = -26 + 4x + -4x Combine like terms: 4x + -4x = 0 -72 + 23x = -26 + 0 -72 + 23x = -26 Add '72' to each side of the equation. -72 + 72 + 23x = -26 + 72 Combine like terms: -72 + 72 = 0 0 + 23x = -26 + 72 23x = -26 + 72 Combine like terms: -26 + 72 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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