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Simplifying -0.5x + 3.5 = 3x + 6 Reorder the terms: 3.5 + -0.5x = 3x + 6 Reorder the terms: 3.5 + -0.5x = 6 + 3x Solving 3.5 + -0.5x = 6 + 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. 3.5 + -0.5x + -3x = 6 + 3x + -3x Combine like terms: -0.5x + -3x = -3.5x 3.5 + -3.5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 3.5 + -3.5x = 6 + 0 3.5 + -3.5x = 6 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -3.5x = 6 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -3.5x = 6 + -3.5 -3.5x = 6 + -3.5 Combine like terms: 6 + -3.5 = 2.5 -3.5x = 2.5 Divide each side by '-3.5'. x = -0.7142857143 Simplifying x = -0.7142857143
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