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Simplifying 3x + 15 = 10 + -0.5x Reorder the terms: 15 + 3x = 10 + -0.5x Solving 15 + 3x = 10 + -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. 15 + 3x + 0.5x = 10 + -0.5x + 0.5x Combine like terms: 3x + 0.5x = 3.5x 15 + 3.5x = 10 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 15 + 3.5x = 10 + 0.0 15 + 3.5x = 10 Add '-15' to each side of the equation. 15 + -15 + 3.5x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 3.5x = 10 + -15 3.5x = 10 + -15 Combine like terms: 10 + -15 = -5 3.5x = -5 Divide each side by '3.5'. x = -1.428571429 Simplifying x = -1.428571429
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