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Simplifying 3x + 4 = 8 + -0.5x Reorder the terms: 4 + 3x = 8 + -0.5x Solving 4 + 3x = 8 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 4 + 3x + 0.5x = 8 + -0.5x + 0.5x Combine like terms: 3x + 0.5x = 3.5x 4 + 3.5x = 8 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 4 + 3.5x = 8 + 0.0 4 + 3.5x = 8 Add '-4' to each side of the equation. 4 + -4 + 3.5x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 3.5x = 8 + -4 3.5x = 8 + -4 Combine like terms: 8 + -4 = 4 3.5x = 4 Divide each side by '3.5'. x = 1.142857143 Simplifying x = 1.142857143
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