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Simplifying 3.8x + -49 = 2.6x + 5 Reorder the terms: -49 + 3.8x = 2.6x + 5 Reorder the terms: -49 + 3.8x = 5 + 2.6x Solving -49 + 3.8x = 5 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. -49 + 3.8x + -2.6x = 5 + 2.6x + -2.6x Combine like terms: 3.8x + -2.6x = 1.2x -49 + 1.2x = 5 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 -49 + 1.2x = 5 + 0.0 -49 + 1.2x = 5 Add '49' to each side of the equation. -49 + 49 + 1.2x = 5 + 49 Combine like terms: -49 + 49 = 0 0 + 1.2x = 5 + 49 1.2x = 5 + 49 Combine like terms: 5 + 49 = 54 1.2x = 54 Divide each side by '1.2'. x = 45 Simplifying x = 45
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