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Simplifying 8x + 20 = 0.5(15x + 10) Reorder the terms: 20 + 8x = 0.5(15x + 10) Reorder the terms: 20 + 8x = 0.5(10 + 15x) 20 + 8x = (10 * 0.5 + 15x * 0.5) 20 + 8x = (5 + 7.5x) Solving 20 + 8x = 5 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 20 + 8x + -7.5x = 5 + 7.5x + -7.5x Combine like terms: 8x + -7.5x = 0.5x 20 + 0.5x = 5 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 20 + 0.5x = 5 + 0.0 20 + 0.5x = 5 Add '-20' to each side of the equation. 20 + -20 + 0.5x = 5 + -20 Combine like terms: 20 + -20 = 0 0 + 0.5x = 5 + -20 0.5x = 5 + -20 Combine like terms: 5 + -20 = -15 0.5x = -15 Divide each side by '0.5'. x = -30 Simplifying x = -30
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