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Simplifying 109 + -7x = 38x + 24 Reorder the terms: 109 + -7x = 24 + 38x Solving 109 + -7x = 24 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 109 + -7x + -38x = 24 + 38x + -38x Combine like terms: -7x + -38x = -45x 109 + -45x = 24 + 38x + -38x Combine like terms: 38x + -38x = 0 109 + -45x = 24 + 0 109 + -45x = 24 Add '-109' to each side of the equation. 109 + -109 + -45x = 24 + -109 Combine like terms: 109 + -109 = 0 0 + -45x = 24 + -109 -45x = 24 + -109 Combine like terms: 24 + -109 = -85 -45x = -85 Divide each side by '-45'. x = 1.888888889 Simplifying x = 1.888888889
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