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Simplifying 7x + -4 = 0.5x + 35 Reorder the terms: -4 + 7x = 0.5x + 35 Reorder the terms: -4 + 7x = 35 + 0.5x Solving -4 + 7x = 35 + 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 + 7x + -0.5x = 35 + 0.5x + -0.5x Combine like terms: 7x + -0.5x = 6.5x -4 + 6.5x = 35 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4 + 6.5x = 35 + 0.0 -4 + 6.5x = 35 Add '4' to each side of the equation. -4 + 4 + 6.5x = 35 + 4 Combine like terms: -4 + 4 = 0 0 + 6.5x = 35 + 4 6.5x = 35 + 4 Combine like terms: 35 + 4 = 39 6.5x = 39 Divide each side by '6.5'. x = 6 Simplifying x = 6
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