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Simplifying 3.5x + 1 = 1.5x + 9 Reorder the terms: 1 + 3.5x = 1.5x + 9 Reorder the terms: 1 + 3.5x = 9 + 1.5x Solving 1 + 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. 1 + 3.5x + -1.5x = 9 + 1.5x + -1.5x Combine like terms: 3.5x + -1.5x = 2x 1 + 2x = 9 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 1 + 2x = 9 + 0.0 1 + 2x = 9 Add '-1' to each side of the equation. 1 + -1 + 2x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 9 + -1 2x = 9 + -1 Combine like terms: 9 + -1 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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