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Simplifying x + 3.5 + 2x = 13 + -4x Reorder the terms: 3.5 + x + 2x = 13 + -4x Combine like terms: x + 2x = 3x 3.5 + 3x = 13 + -4x Solving 3.5 + 3x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3.5 + 3x + 4x = 13 + -4x + 4x Combine like terms: 3x + 4x = 7x 3.5 + 7x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 3.5 + 7x = 13 + 0 3.5 + 7x = 13 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 7x = 13 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 7x = 13 + -3.5 7x = 13 + -3.5 Combine like terms: 13 + -3.5 = 9.5 7x = 9.5 Divide each side by '7'. x = 1.357142857 Simplifying x = 1.357142857
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