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Simplifying 0.5x + 3x = 0.5(4x + 10) + 10 Combine like terms: 0.5x + 3x = 3.5x 3.5x = 0.5(4x + 10) + 10 Reorder the terms: 3.5x = 0.5(10 + 4x) + 10 3.5x = (10 * 0.5 + 4x * 0.5) + 10 3.5x = (5 + 2x) + 10 Reorder the terms: 3.5x = 5 + 10 + 2x Combine like terms: 5 + 10 = 15 3.5x = 15 + 2x Solving 3.5x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3.5x + -2x = 15 + 2x + -2x Combine like terms: 3.5x + -2x = 1.5x 1.5x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 1.5x = 15 + 0 1.5x = 15 Divide each side by '1.5'. x = 10 Simplifying x = 10
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