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Simplifying 1 + 3.5x = 0.9x + 14 Reorder the terms: 1 + 3.5x = 14 + 0.9x Solving 1 + 3.5x = 14 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 1 + 3.5x + -0.9x = 14 + 0.9x + -0.9x Combine like terms: 3.5x + -0.9x = 2.6x 1 + 2.6x = 14 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1 + 2.6x = 14 + 0.0 1 + 2.6x = 14 Add '-1' to each side of the equation. 1 + -1 + 2.6x = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 2.6x = 14 + -1 2.6x = 14 + -1 Combine like terms: 14 + -1 = 13 2.6x = 13 Divide each side by '2.6'. x = 5 Simplifying x = 5
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