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Simplifying 3x + -7 = 0.5x + 3 Reorder the terms: -7 + 3x = 0.5x + 3 Reorder the terms: -7 + 3x = 3 + 0.5x Solving -7 + 3x = 3 + 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. -7 + 3x + -0.5x = 3 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x -7 + 2.5x = 3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -7 + 2.5x = 3 + 0.0 -7 + 2.5x = 3 Add '7' to each side of the equation. -7 + 7 + 2.5x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2.5x = 3 + 7 2.5x = 3 + 7 Combine like terms: 3 + 7 = 10 2.5x = 10 Divide each side by '2.5'. x = 4 Simplifying x = 4
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