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Simplifying 26x + -23x + -14 + 38x = 18x + -20x + 30 + 28x Reorder the terms: -14 + 26x + -23x + 38x = 18x + -20x + 30 + 28x Combine like terms: 26x + -23x = 3x -14 + 3x + 38x = 18x + -20x + 30 + 28x Combine like terms: 3x + 38x = 41x -14 + 41x = 18x + -20x + 30 + 28x Reorder the terms: -14 + 41x = 30 + 18x + -20x + 28x Combine like terms: 18x + -20x = -2x -14 + 41x = 30 + -2x + 28x Combine like terms: -2x + 28x = 26x -14 + 41x = 30 + 26x Solving -14 + 41x = 30 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -14 + 41x + -26x = 30 + 26x + -26x Combine like terms: 41x + -26x = 15x -14 + 15x = 30 + 26x + -26x Combine like terms: 26x + -26x = 0 -14 + 15x = 30 + 0 -14 + 15x = 30 Add '14' to each side of the equation. -14 + 14 + 15x = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 30 + 14 15x = 30 + 14 Combine like terms: 30 + 14 = 44 15x = 44 Divide each side by '15'. x = 2.933333333 Simplifying x = 2.933333333
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