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Simplifying 3.5x + 1 = 3x + 4 Reorder the terms: 1 + 3.5x = 3x + 4 Reorder the terms: 1 + 3.5x = 4 + 3x Solving 1 + 3.5x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 3.5x + -3x = 4 + 3x + -3x Combine like terms: 3.5x + -3x = 0.5x 1 + 0.5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 0.5x = 4 + 0 1 + 0.5x = 4 Add '-1' to each side of the equation. 1 + -1 + 0.5x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x = 4 + -1 0.5x = 4 + -1 Combine like terms: 4 + -1 = 3 0.5x = 3 Divide each side by '0.5'. x = 6 Simplifying x = 6
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