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Simplifying 3x + -40 = 0.5x + 35 Reorder the terms: -40 + 3x = 0.5x + 35 Reorder the terms: -40 + 3x = 35 + 0.5x Solving -40 + 3x = 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. -40 + 3x + -0.5x = 35 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x -40 + 2.5x = 35 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -40 + 2.5x = 35 + 0.0 -40 + 2.5x = 35 Add '40' to each side of the equation. -40 + 40 + 2.5x = 35 + 40 Combine like terms: -40 + 40 = 0 0 + 2.5x = 35 + 40 2.5x = 35 + 40 Combine like terms: 35 + 40 = 75 2.5x = 75 Divide each side by '2.5'. x = 30 Simplifying x = 30
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