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Simplifying 3.5x + -11 = 1.5x + 9 Reorder the terms: -11 + 3.5x = 1.5x + 9 Reorder the terms: -11 + 3.5x = 9 + 1.5x Solving -11 + 3.5x = 9 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -11 + 3.5x + -1.5x = 9 + 1.5x + -1.5x Combine like terms: 3.5x + -1.5x = 2x -11 + 2x = 9 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -11 + 2x = 9 + 0.0 -11 + 2x = 9 Add '11' to each side of the equation. -11 + 11 + 2x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 9 + 11 2x = 9 + 11 Combine like terms: 9 + 11 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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