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Simplifying 3x + 10 = 3.5x + 5 Reorder the terms: 10 + 3x = 3.5x + 5 Reorder the terms: 10 + 3x = 5 + 3.5x Solving 10 + 3x = 5 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 10 + 3x + -3.5x = 5 + 3.5x + -3.5x Combine like terms: 3x + -3.5x = -0.5x 10 + -0.5x = 5 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 10 + -0.5x = 5 + 0.0 10 + -0.5x = 5 Add '-10' to each side of the equation. 10 + -10 + -0.5x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -0.5x = 5 + -10 -0.5x = 5 + -10 Combine like terms: 5 + -10 = -5 -0.5x = -5 Divide each side by '-0.5'. x = 10 Simplifying x = 10
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