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Simplifying 1.5x + -2.5 = 3.5x + 13.7 Reorder the terms: -2.5 + 1.5x = 3.5x + 13.7 Reorder the terms: -2.5 + 1.5x = 13.7 + 3.5x Solving -2.5 + 1.5x = 13.7 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -2.5 + 1.5x + -3.5x = 13.7 + 3.5x + -3.5x Combine like terms: 1.5x + -3.5x = -2x -2.5 + -2x = 13.7 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -2.5 + -2x = 13.7 + 0.0 -2.5 + -2x = 13.7 Add '2.5' to each side of the equation. -2.5 + 2.5 + -2x = 13.7 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -2x = 13.7 + 2.5 -2x = 13.7 + 2.5 Combine like terms: 13.7 + 2.5 = 16.2 -2x = 16.2 Divide each side by '-2'. x = -8.1 Simplifying x = -8.1
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